# Division of Literal numbers

## Definition

The mathematical operation of dividing a literal number by another literal number is called the division of the literal numbers.

Division is a mathematical operation and it is used in algebra to divide a literal number by another literal number and the division of them is their quotient. Learners who are new to learning algebra must have complete knowledge about it.

### Cases

There are two possible cases to perform division with literals in algebra.

#### Division of same literals

In algebra, a literal is divided by the same literal in a special case. The two literals represent unknown quantity but represents same quantity, therefore the literal is divided by the same literal once. Hence, the quotient of them is always one.

$(1) \,\,\,\,\,$ $a ÷ a$

For example, $a$ is a literal number and it is divided by the same literal and it is written as follows.

$\implies a ÷ a = \dfrac{a}{a} = 1$

$(2) \,\,\,\,\,$ $b ÷ b = \dfrac{b}{b} = 1$

$(3) \,\,\,\,\,$ $c ÷ c = \dfrac{c}{c} = 1$

#### Division of different literals

Literal numbers also involve in division with different literals. Division of two different literals cannot be successfully divided because the two literals represent unknown quantities and also represent different quantities. Therefore, the quotient of two different literals is always written as an expression.

$(1) \,\,\,\,\,$ $a ÷ b$

For example, $a$ and $b$ are two literals and they represent unknown quantities but also represent different quantities. So, the quotient of them is written as an expression.

$\implies a ÷ b = \dfrac{a}{b}$

$(2) \,\,\,\,\,$ $c ÷ d = \dfrac{c}{d}$

$(3) \,\,\,\,\,$ $e ÷ f = \dfrac{e}{f}$