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Google Keyword Rankings for : software integer division algorithm
1
https://www.microsoft.com/en-us/research/wp-content/uploads/2008/08/tr-2008-141.pdf
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https://www.microsoft.com/en-us/research/wp-content/uploads/2008/08/tr-2008-141.pdf
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2
https://en.algorithmica.org/hpc/arithmetic/division/
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https://en.algorithmica.org/hpc/arithmetic/division/
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3
https://www.geeksforgeeks.org/division-algorithm-in-signed-magnitude-representation/
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https://www.geeksforgeeks.org/division-algorithm-in-signed-magnitude-representation/
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4
http://bearcave.com/software/divide.htm
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http://bearcave.com/software/divide.htm
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5
https://blog.segger.com/algorithms-for-division-part-3-using-multiplication/
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https://blog.segger.com/algorithms-for-division-part-3-using-multiplication/
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6
https://libdivide.com/
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https://libdivide.com/
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7
https://skanthak.homepage.t-online.de/division.html
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https://skanthak.homepage.t-online.de/division.html
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8
https://shareok.org/handle/11244/323391
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https://shareok.org/handle/11244/323391
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9
https://stackoverflow.com/questions/2390354/where-can-i-find-soft-multiply-and-divide-algorithms
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https://stackoverflow.com/questions/2390354/where-can-i-find-soft-multiply-and-divide-algorithms
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10
https://www.sciencedirect.com/topics/computer-science/integer-division
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https://www.sciencedirect.com/topics/computer-science/integer-division
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11
https://www.youtube.com/watch?v=r6ClToFMPv8
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https://www.youtube.com/watch?v=r6ClToFMPv8
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12
https://gist.github.com/4243253
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https://gist.github.com/4243253
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13
https://www.semanticscholar.org/paper/Software-Integer-Division-Rodeheffer/01f3898f0f1fae4d2c92a7154fdbac5cea6cc8a6
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https://www.semanticscholar.org/paper/Software-Integer-Division-Rodeheffer/01f3898f0f1fae4d2c92a7154fdbac5cea6cc8a6
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14
https://gmplib.org/~tege/divcnst-pldi94.pdf
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https://gmplib.org/~tege/divcnst-pldi94.pdf
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15
https://mathstats.uncg.edu/sites/pauli/112/HTML/secdivalg.html
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https://mathstats.uncg.edu/sites/pauli/112/HTML/secdivalg.html
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16
https://surface.syr.edu/cgi/viewcontent.cgi?article=1162&context=eecs_techreports
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https://surface.syr.edu/cgi/viewcontent.cgi?article=1162&context=eecs_techreports
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17
https://www.google.com/patents/US8140608
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https://www.google.com/patents/US8140608
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18
https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2011/09/CS301-Part-IV-Division.pdf
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https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2011/09/CS301-Part-IV-Division.pdf
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19
https://press.rebus.community/programmingfundamentals/chapter/integer-division-and-modulus/
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https://press.rebus.community/programmingfundamentals/chapter/integer-division-and-modulus/
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20
https://www.cl.cam.ac.uk/~jrh13/papers/hol00.pdf
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https://www.cl.cam.ac.uk/~jrh13/papers/hol00.pdf
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21
http://www.acsel-lab.com/arithmetic/arith17/papers/ARITH17_Robison.pdf
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http://www.acsel-lab.com/arithmetic/arith17/papers/ARITH17_Robison.pdf
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22
https://www.quora.com/What-are-the-division-algorithms-that-can-divide-large-integers-Can-someone-give-an-example-and-a-implementation-of-the-algorithm
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https://www.quora.com/What-are-the-division-algorithms-that-can-divide-large-integers-Can-someone-give-an-example-and-a-implementation-of-the-algorithm
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23
https://www.chegg.com/homework-help/questions-and-answers/division-algorithm-states-given-two-integers-d-exists-unique-integers-q-r-qd-r-d-denotes-a-q2029547
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https://www.chegg.com/homework-help/questions-and-answers/division-algorithm-states-given-two-integers-d-exists-unique-integers-q-r-qd-r-d-denotes-a-q2029547
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24
https://arxiv.org/pdf/2207.08420
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https://arxiv.org/pdf/2207.08420
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25
https://homepage.divms.uiowa.edu/~jones/bcd/divide.html
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https://homepage.divms.uiowa.edu/~jones/bcd/divide.html
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26
https://www.fq.math.ca/Scanned/25-3/mays.pdf
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https://www.fq.math.ca/Scanned/25-3/mays.pdf
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27
https://www.javatpoint.com/restoring-division-algorithm-for-unsigned-integer
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https://www.javatpoint.com/restoring-division-algorithm-for-unsigned-integer
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28
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8258644/
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https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8258644/
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29
https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/A_Spiral_Workbook_for_Discrete_Mathematics_(Kwong)/05%3A_Basic_Number_Theory/5.02%3A_Division_Algorithm
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https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/A_Spiral_Workbook_for_Discrete_Mathematics_(Kwong)/05%3A_Basic_Number_Theory/5.02%3A_Division_Algorithm
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30
https://nsec.sjtu.edu.cn/data/CS314-chapter3-1-2017.pptx
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https://nsec.sjtu.edu.cn/data/CS314-chapter3-1-2017.pptx
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31
https://playandlearntocode.com/article/integer-division-algorithm-python-leetcode
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https://playandlearntocode.com/article/integer-division-algorithm-python-leetcode
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32
http://emesystems.com/OLDSITE/division.htm
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http://emesystems.com/OLDSITE/division.htm
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33
https://www2.cs.sfu.ca/CourseCentral/101.MACM/burton/Current/Notes/Old/divisionB.pdf
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https://www2.cs.sfu.ca/CourseCentral/101.MACM/burton/Current/Notes/Old/divisionB.pdf
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34
https://www.researchgate.net/publication/354570078_High-Precision_Priority_Encoder_Based_Integer_Division_Algorithm
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https://www.researchgate.net/publication/354570078_High-Precision_Priority_Encoder_Based_Integer_Division_Algorithm
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35
https://ieeexplore.ieee.org/document/5628505
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https://ieeexplore.ieee.org/document/5628505
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36
https://www.codeproject.com/Articles/1276311/Multiple-Precision-Arithmetic-Division-Algorithm
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https://www.codeproject.com/Articles/1276311/Multiple-Precision-Arithmetic-Division-Algorithm
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37
https://www.jstor.org/stable/2153836
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https://www.jstor.org/stable/2153836
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38
https://electronics.stackexchange.com/questions/22410/how-does-division-occur-in-our-computers
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https://electronics.stackexchange.com/questions/22410/how-does-division-occur-in-our-computers
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39
https://www.annalsofrscb.ro/index.php/journal/article/download/4175/3336/7672
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https://www.annalsofrscb.ro/index.php/journal/article/download/4175/3336/7672
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40
https://web.ece.ucsb.edu/~parhami/pres_folder/f31-book-arith-pres-pt4.pdf
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https://web.ece.ucsb.edu/~parhami/pres_folder/f31-book-arith-pres-pt4.pdf
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41
https://developer.arm.com/documentation/ka002336/latest
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https://developer.arm.com/documentation/ka002336/latest
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42
http://access.ee.ntu.edu.tw/course/advanced_VLSI_91/course_outline/divisionCh13.pdf
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http://access.ee.ntu.edu.tw/course/advanced_VLSI_91/course_outline/divisionCh13.pdf
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43
https://www.wikiwand.com/en/Division_algorithm
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https://www.wikiwand.com/en/Division_algorithm
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44
https://lemire.me/blog/2017/05/09/signed-integer-division-by-a-power-of-two-can-be-expensive/
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https://lemire.me/blog/2017/05/09/signed-integer-division-by-a-power-of-two-can-be-expensive/
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45
https://www.yumpu.com/en/document/view/20565372/fast-division-of-large-integers
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https://www.yumpu.com/en/document/view/20565372/fast-division-of-large-integers
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46
https://core.ac.uk/download/pdf/289095991.pdf
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https://core.ac.uk/download/pdf/289095991.pdf
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47
https://leetcode.com/problems/divide-two-integers/
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https://leetcode.com/problems/divide-two-integers/
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48
http://128.84.4.18/pdf/2012.12369
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http://128.84.4.18/pdf/2012.12369
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49
http://www.sunshine2k.de/articles/coding/biguint/bigunsignedint.html
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http://www.sunshine2k.de/articles/coding/biguint/bigunsignedint.html
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50
https://people.eecs.berkeley.edu/~fateman/282/F%20Wright%20notes/week4.pdf
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https://people.eecs.berkeley.edu/~fateman/282/F%20Wright%20notes/week4.pdf
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51
http://returnzero.persiangig.com/projects/large%20numbers.pdf
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http://returnzero.persiangig.com/projects/large%20numbers.pdf
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52
http://www.ann.ece.ufl.edu/courses/eel4713_12fal/slides/Lec8-division.pdf
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http://www.ann.ece.ufl.edu/courses/eel4713_12fal/slides/Lec8-division.pdf
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53
https://onlinelibrary.wiley.com/doi/10.1002/spe.2689
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https://onlinelibrary.wiley.com/doi/10.1002/spe.2689
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54
https://study.com/learn/lesson/division-algorithm-overview-examples.html
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https://study.com/learn/lesson/division-algorithm-overview-examples.html
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55
http://compoasso.free.fr/primelistweb/page/prime/euclide_en.php
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http://compoasso.free.fr/primelistweb/page/prime/euclide_en.php
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56
https://jeremykun.com/tag/division-algorithm/
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https://jeremykun.com/tag/division-algorithm/
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57
https://danlark.org/2020/06/14/128-bit-division/
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https://danlark.org/2020/06/14/128-bit-division/
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58
https://r-libre.teluq.ca/1633/1/Faster_Remainder_of_the_Division_by_a_Constant.pdf
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https://r-libre.teluq.ca/1633/1/Faster_Remainder_of_the_Division_by_a_Constant.pdf
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59
https://ijecce.org/administrator/components/com_jresearch/files/publications/IJECCE-98%20FInal%20N.pdf
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https://ijecce.org/administrator/components/com_jresearch/files/publications/IJECCE-98%20FInal%20N.pdf
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60
https://www.coursehero.com/file/53769257/Week-2-DQ2docx/
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https://www.coursehero.com/file/53769257/Week-2-DQ2docx/
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61
https://www.tutorialspoint.com/restoring-division-algorithm-for-unsigned-integer-in-cplusplus
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https://www.tutorialspoint.com/restoring-division-algorithm-for-unsigned-integer-in-cplusplus
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62
https://www.cs.uaf.edu/2000/fall/cs301/notes/notes/node48.html
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https://www.cs.uaf.edu/2000/fall/cs301/notes/notes/node48.html
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63
https://mathsanew.com/articles/implementing_large_integers_division.pdf
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https://mathsanew.com/articles/implementing_large_integers_division.pdf
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64
https://dl.acm.org/doi/10.1145/178243.178249
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https://dl.acm.org/doi/10.1145/178243.178249
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65
https://wiki2.org/en/Division_algorithm
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https://wiki2.org/en/Division_algorithm
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66
https://link.springer.com/chapter/10.1007/978-3-540-78827-0_84
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https://link.springer.com/chapter/10.1007/978-3-540-78827-0_84
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67
https://www.programiz.com/c-programming/examples/remainder-quotient
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https://www.programiz.com/c-programming/examples/remainder-quotient
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68
https://embeddedgurus.com/stack-overflow/2009/06/division-of-integers-by-constants/
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https://embeddedgurus.com/stack-overflow/2009/06/division-of-integers-by-constants/
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69
https://www.dcode.fr/euclidean-division
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https://www.dcode.fr/euclidean-division
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70
http://justinparrtech.com/JustinParr-Tech/an-algorithm-for-arbitrary-precision-integer-division/
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http://justinparrtech.com/JustinParr-Tech/an-algorithm-for-arbitrary-precision-integer-division/
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71
https://www.codingninjas.com/codestudio/library/divide-two-integers
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https://www.codingninjas.com/codestudio/library/divide-two-integers
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72
https://surf-vhdl.com/how-to-divide-an-integer-by-constant-in-vhdl/
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https://surf-vhdl.com/how-to-divide-an-integer-by-constant-in-vhdl/
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73
https://www.includehelp.com/php/find-integer-division-using-intdiv-function.aspx
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https://www.includehelp.com/php/find-integer-division-using-intdiv-function.aspx
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74
https://ben.land/post/2021/03/31/math-as-an-algorithm/
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https://ben.land/post/2021/03/31/math-as-an-algorithm/
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75
https://ericlippert.com/2013/10/14/math-from-scratch-part-seven-division-and-remainder/
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https://ericlippert.com/2013/10/14/math-from-scratch-part-seven-division-and-remainder/
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76
https://digitalcommons.lmu.edu/cgi/viewcontent.cgi?referer=&httpsredir=1&article=1010&context=math_fac
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77
https://ridiculousfish.com/blog/huge_post.html
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78
https://forums.parallax.com/discussion/139711/fast-faster-fastest-code-ultrafast-32-bit-integer-division
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https://forums.parallax.com/discussion/139711/fast-faster-fastest-code-ultrafast-32-bit-integer-division
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79
https://retro64.altervista.org/blog/6502-assembly-math-division-simple-algorithm-using-powers-of-two/
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https://retro64.altervista.org/blog/6502-assembly-math-division-simple-algorithm-using-powers-of-two/
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80
https://www.boost.org/doc/libs/1_73_0/libs/hana/doc/html/group__group-EuclideanRing.html
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https://www.boost.org/doc/libs/1_73_0/libs/hana/doc/html/group__group-EuclideanRing.html
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81
https://www.mail-archive.com/open64-devel@lists.sourceforge.net/msg01139.html
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https://www.mail-archive.com/open64-devel@lists.sourceforge.net/msg01139.html
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82
https://iq.opengenus.org/bitwise-division/
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https://iq.opengenus.org/bitwise-division/
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83
https://blog.bytellect.com/software-development/c/how-to-get-the-ceiling-of-an-integer-division-in-c/
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https://blog.bytellect.com/software-development/c/how-to-get-the-ceiling-of-an-integer-division-in-c/
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84
http://kelaskaryawan.uicm.ac.id/IT/2772-2659/Division-algorithm_1647_kelaskaryawan-uicm.html
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85
https://bob.cs.sonoma.edu/IntroCompOrg-RPi/sec-div.html
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https://bob.cs.sonoma.edu/IntroCompOrg-RPi/sec-div.html
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86
https://specbranch.com/posts/faster-div8/
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https://specbranch.com/posts/faster-div8/
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87
https://blog.finxter.com/daily-python-puzzle-integer-division/
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https://blog.finxter.com/daily-python-puzzle-integer-division/
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88
https://www.mathworks.com/help/symbolic/sym.quorem.html
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89
https://hal.inria.fr/hal-01402252v2/document
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https://hal.inria.fr/hal-01402252v2/document
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90
https://www.microchip.com/forums/m705894.aspx
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91
http://www.flounder.com/multiplicative_inverse.htm
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92
https://groups.google.com/g/comp.arch/c/zguBbOJc_04
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93
https://www.globalspec.com/reference/67061/203279/integer-divide-and-integer-remainder-computations
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https://www.globalspec.com/reference/67061/203279/integer-divide-and-integer-remainder-computations
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94
https://www.allaboutcircuits.com/technical-articles/basic-binary-division-the-algorithm-and-the-vhdl-code/
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https://www.allaboutcircuits.com/technical-articles/basic-binary-division-the-algorithm-and-the-vhdl-code/
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95
https://srfi.schemers.org/srfi-141/srfi-141.html
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