In a set of numbers, an operation under which a pair of elements (

*a, b*) in this set, is made to correspond to a number*q*of this set so that this relationship is true:*a*÷*b*=*q*or*a = b × q*.The result of a division operation is called the quotient.

The operation of division also translates other concepts such as successive subtraction, comparisons between quantities, sharing, a ratio, etc.

### Symbol

Many symbols are used to represent a division operation, depending on the context:

*a*:*b*(The colon is commonly used to express a ratio between the numbers*a*and*b*).*a*÷*b*(This symbol is also called an “obelus” and it is commonly used in arithmetic in primary (elementary) school or elsewhere when solving arithmetic and non-algebraic calculations).- a/b (The slash is used to represent fractions online; it is not very common in math texts, but it is present everywhere in technology).
- \(\dfrac{a}{b}\) (This horizontal bar is used in fractional notation to represent the division of
*a*by*b*in a numerical or algebraic expression).