Element left over from a quantity after subtracting or sharing (dividing) the elements in this quantity.

- In Euclidean division, a whole number
*r*such as*D*=*q*×*d*+*r*, with*r*<*d*, where*D*is the dividend,*d*is the divisor and*q*is the quotient. - The term
**remainder**is sometimes used to refer to the result of a subtraction. In this case, it’s better to use the term remainder.

### Example

The remainder of the division of 23 by 5 is 3, because: 23 = 4 × 5 + 3.