Long Division Calculator with Remainders
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.
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Result
About this tool
This page opens the calculator with the remainder form of the answer front and centre: enter a dividend and a divisor and it performs the schoolbook procedure, drawing the full bracket and reporting the result as a quotient with a remainder — for 1234 ÷ 56 that is 22 r 2, because 22 × 56 = 1232 and 1234 − 1232 = 2.
Answers with remainders are how long division is first taught, before decimals are introduced: the remainder is simply what is left after the divisor has fitted a whole number of times. Every multiply, subtract and bring-down that leads to it is drawn in the bracket and narrated in words, so you can check your own working step against step.
The same run also gives the decimal expansion and the mixed-number form (22 2/56 reduced to 22 1/28), so once remainders make sense you can see exactly how the leftover 2 becomes .0357… when the division is continued past the units place.
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.