Dividing Whole Numbers

Dividing Whole Numbers

Operation under which every pair (a, b) of whole numbers, is made to correspond to a number q, called the whole quotient of a by b, and a number r, called the remainder of the division.

The process of dividing whole numbers is often called Euclidean division: a = b × q + r.

In this process, the number a is called the dividend and the number b is called the divisor.


47 ÷ 12 = 3, remainder 11
47 = 3 × 12 + 11 (Euclidean representation)

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