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High Quality Content by WIKIPEDIA articles! The division algorithm is a theorem in mathematics which precisely expresses the outcome of the usual process of division of integers. Its name is a partial misnomer: it is not a true algorithm (a well-defined procedure for achieving a specific task), but it can be used to find the greatest common divisor of two integers. The term "division algorithm" is also used in algebra for a general variant of this theorem, shown to hold in integral domains which are principal ideal domains.

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High Quality Content by WIKIPEDIA articles! The division algorithm is a theorem in mathematics which precisely expresses the outcome of the usual process of division of integers. Its name is a partial misnomer: it is not a true algorithm (a well-defined procedure for achieving a specific task), but it can be used to find the greatest common divisor of two integers. The term "division algorithm" is also used in algebra for a general variant of this theorem, shown to hold in integral domains which are principal ideal domains.