Enter a dividend and a divisor to calculate the quotient and remainder.
How to Use the Remainder Calculator
Dividend and divisor produce quotient and remainder together — the same two numbers the Long Division calculator uses, minus the decimal expansion.
29 ÷ 6: six fits in four times (24), five left over. That leftover is the remainder — whatever doesn't divide evenly, always smaller than the divisor itself. If it weren't smaller, the divisor could fit in at least once more, which would mean the quotient wasn't actually as large as it should be yet.
remainder = dividend − (divisor × quotient), 0 ≤ remainder < |divisor|A remainder of 0 just means the division was exact — the dividend is a clean multiple of the divisor, nothing left over. And if the word "modulo" sounds unfamiliar: for positive numbers it's the same thing this calculator returns, just the term programmers and mathematicians use for it.