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.

### Example

47 ÷ 12 = 3, remainder 11

47 = 3 × 12 + 11 (Euclidean representation)