# Division

*This article is about the arithmetic operation. For other uses, see Division (disambiguation).*

In mathematics, especially elementary arithmetic, **division** is an arithmetic operation which is the reverse operation of multiplication and sometimes can be interpreted as repeated subtraction.

Specifically, if

*a*×*b*=*c*,

*b*is nonzero, then

*a*=*c*÷*b*

*c*divided by

*b*"). So for instance, 6 ÷ 3 = 2 since 2 × 3 = 6.

In the above expression, *a* is called the *quotient*, *b* the *divisor* and *c* the *dividend*.

The expression *c* ÷ *b* is also written "*c*/*b*" (read "*c* over *b*"), especially in higher mathematics (including applications to science and engineering) and in computer programming languages.
This form is also often used as the final form of a fraction, without any implication that it needs to be evaluated further.

It is not possible to define division by zero in any useful way.

## Division of integers

*Explain how we get both a quotient and a remainder, link to **Modular arithmetic*

## Division in abstract algebra

See also: Rational number, Reciprocal, Inverse element, Divisor, Division by two, Division by zero, Quasigroup, Group, Field (algebra), Division algebra, Division ring, Long division