Remainder

In arithmetic, the remainder (or residue) is the amount "left over" after the division of two integers which cannot be expressed with an integer quotient.

The general form of a linear equation can be expressed as a = q × d + r. In this equation, q can be referred to as the quotient and d as the divisor, while r as the remainder. The equation can be transformed to find the remainder as: r = a - q × d. However, a and d must be natural numbers, with d being non-zero. The quotient is the integer result (rounded down) of the division of a by d. The remainder must also be an integer.

Read more about Remainder:  The Remainder For Natural Numbers, The Case of General Integers, The Remainder For Real Numbers, The Inequality Satisfied By The Remainder, Quotient and Remainder in Programming Languages

Famous quotes containing the word remainder:

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    Mark Twain [Samuel Langhorne Clemens] (1835–1910)

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    Albert Camus (1913–1960)