Remainder

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The remainder in integer division is the number left over from $a\div b$ when $b$ does not divide $a$ evenly. For example, 42 ÷ 5 leaves a remainder of 2, since 5 × 8 = 40 and 42 – 40 = 2. When $b$ does divide $a$ evenly, the remainder is 0. See also: congruences.