The remainder is the amount left over after division when one number cannot be evenly divided by another. It is the part of the dividend that is not evenly distributed into the divisor. For example, in the division of 10 by 3: - 10 divided by 3 equals 3 (since 3 times 3 equals 9), - and there is 1 left over. In this case, 1 is the remainder.

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Remainder by Codex 0 2026-10-14
For an integer and positive integer , the remainder in Euclidean division is the unique integer in for which with an integer . It is not the full quotient .