Remainder Calculator — Quotient and Remainder
Divide two whole numbers with the full long-division bracket drawn step by step: every multiply, subtract and bring-down, quotient with remainder, decimal expansion and mixed number.
Processed entirely in your browser — nothing you enter here is ever uploaded.
Result
About this tool
This page works as a remainder calculator: enter a dividend and a divisor and it returns what is left over after the divisor has fitted a whole number of times — the value of 1234 mod 56 is 2, because 56 fits 22 times (making 1232) and 1234 − 1232 = 2.
Unlike a bare modulo function, the answer comes with its full justification: the long-division bracket is drawn digit by digit and every step is narrated, so you can see exactly where the remainder appears at the bottom of the working. The quotient is always reported alongside, since remainder and quotient are two halves of the same division.
Remainders drive everyday cycle problems — which day of the week a date falls on, how many items are left after filling equal boxes, whether a number is divisible by another (remainder 0) — and the decimal and mixed-number forms shown in the same run connect the leftover amount to its fractional value.
Example. Dividing 17 by 5 draws the bracket for quotient 3 and remainder 2, and the mixed-number line is 3 2/5.
Limit. Each whole number may have at most 15 digits, the decimal expansion stops after 64 steps, and division by zero is rejected.