arithmetic operation; one of the four basic operations of arithmetic (others being addition, subtraction, multiplication).The division of two natural numbers is the process of calculating the number of times one number is contained within one another From Wikipedia, the free encyclopedia

In mathematics, **division** is the operation which is the opposite of multiplication. The symbols for division are the slash () and the fraction line, as in:

- or

where both expressions mean "6 divided by 3", with 2 as the answer. The first number (6) is the **dividend**, and the second number (3) is the **divisor**. The result (or answer) of a division is the **quotient**, where any left-over amount as whole numbers is called the **remainder**.^{[1]} For example, gives quotient 3 with remainder 2, all expressed as the mixed number or ).

If times equals , written as:

where is not , then equals divided by , written as:

^{[2]}

For example,

because

- .

In the above expressions, the **dividend** is , the **divisor** is and the **quotient** is (with no remainder).^{[2]}

Division by zero, as in

is not defined.

Division is most often shown by placing the *dividend* over the *divisor* with a horizontal line (called a vinculum) between them. For example, divided by is written as

This can be read as "x divided by y", or "x over y". A way to express division on one line is to write the *dividend*, then a slash, then the *divisor*, like this:

This is the usual way to write division in most computer programming languages, since it can easily be typed as a simple sequence of characters.

A typographical variation which is halfway between these two forms uses a slash, but elevates the dividend and lowers the divisor:

^{a}⁄_{b}

Any of these forms can be used to show a fraction. A fraction is a division expression where the dividend and divisor are both integers (in that case, the two numbers are called *numerator* and *denominator*).

Division should not be confused with ratios, which are written as , and read " (is) to ".

- Divisor, another meaning as a number which evenly divides an amount
- Division by two
- Long division
- Modular arithmetic
- Remainder

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