Find the remainder after dividing one number by another and see the division identity spelled out clearly.
Last updated: June 2026 | By Patchworkr Team
The remainder is the amount left over after division. It is the value that makes the identity dividend = divisor x quotient + remainder true.
For 17 divided by 5, the quotient is 3 and the remainder is 2.
For this tool, the quotient is truncated toward zero, so the remainder follows the division identity used here.
The calculator rejects the input because division by zero is undefined.
Yes. The calculator accepts decimal values and returns a decimal remainder.
Not in every sign case when negative values are involved, because truncation is used here.
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