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division algorithm

   Also found in: Wikipedia 0.02 sec.
division algorithm [di¦vizh·ən ′al·gə‚rith·əm]
(mathematics)
The theorem that, for any integermand any positive integern, there exist unique integersqandrsuch thatm=qn+randris equal to or greater than 0 and less thann.


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In real life, today, the operation of division is used as a small part of solving a situated problem that begins with the recognition that division is needed; in the '60s, when the context for learning mathematical skills was often in order "to pass the exam or test" an ability to perform the long division algorithm was an achievement in its own right.
The naive sequential division algorithm successively shifts and subtracts the modulus until the remainder that is non-negative and smaller than the modulus is found.
It appeared that Beth thought mathematics consisted mainly of learning multiplication facts and division algorithms and little else.
 
 
 
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