Quotient and Remainder Calculator

About this calculator

Dividing one whole number, the dividend, by another, the divisor, produces two results at once under Euclidean division: the whole-number quotient, how many times the divisor fits completely into the dividend, and the remainder, whatever is left over, always smaller than the divisor. Formally, dividend = divisor × quotient + remainder, with 0 ≤ remainder less than the divisor.

This pairing is a building block far beyond school long-division drills: computer science relies on the remainder, the modulo operation, for tasks like assigning items to buckets in a hash table, wrapping array indices, and generating pseudo-random sequences, while the quotient-remainder pair underlies clock arithmetic, such as converting a total number of minutes into hours and remaining minutes, and unit conversions that mix whole and fractional units.

Enter a dividend and a divisor and this calculator returns both the quotient and the remainder of the division.