# What Is a Division Algorithm?

## Answer

Division algorithm refers to the process of division of integers producing a quotient and a remainder in arithmetic. Division algorithm can be described properly using a theorem stating that these exist exclusively with given properties.
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division algorithm
NOUN [MATHEMATICS]
1.
the theorem that an integer can be written as the sum of the product of two integers, one a given positive integer, added to a positive integer smaller than the given positive integer.
2.
any systematic process for calculating the quotient of two numbers.
Source: Dictionary.com
A division agorith is a method or theorem which for any integer 'x' and any positive integer 'y', there are unique integers 'a' and 'b' so that x=ay + y is equal to or greater than 0 and less that y.
A division algorithm is a theorem. It is used to express the precise outcome of the division of integers. Division algorithms are primarily used in arithmetic but they are used in other types of math such as algebra as well.
Q&A Related to "What Is a Division Algorithm"
 a division metheod use to solve a division problem. http://wiki.answers.com/Q/What_is_division_algorit...
 ( di¦vizh·ən ′al·gə′rith·əm ) (mathematics) The theorem that, for any integer m and any positive integer n, there exist unique http://www.answers.com/topic/division-algorithm
 The division algorithm is a theorem in mathematics which precisely http://www.chacha.com/question/what-is-an-algorith...
 Euclid wasn't giving the modern "division algorithm" but the best method for finding the greatest common divisor. He divided by subtracting again and again- not an efficient http://answers.yahoo.com/question/index?qid=201010...
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