Quotient is the result of division which gives the number of times the divisor divides into the dividend. The result of division will give the integral part named 'Quotient'. In abstract branches of mathematics, quotient describes sets, spaces or algebraic structures.

## Definition of Quotient

The number of times one quantity is contained in another gives quotient. It is the ratio of two numbers to be divided.
For example, when dividing 18 by 3 the quotient obtained is 6.
18 - Dividend
3 - Divisor
6 - Quotient.

## Steps to Find Quotient

Given below are some easy steps to find quotient:

Step 1: When dividing two numbers, consider the numerator as dividend and denominator as divisor.

Step 2: While dividing, divide numbers until the dividend is less than divisor.

Step 3: If the divisor does not divide the dividend exactly then the number left over is termed to be the remainder.

Step 4: Quotient will be the number obtained by dividing two numbers.

Dividend = (Quotient × Divisor) + Remainder

## Example of Quotient

### Solved Examples

Question 1: Divide $\frac{9}{3}$
Solution:

For the given problem dividend is 9 and divisor is 3.
When 9 is divided by 3 we get the quotient as 3.

Question 2: Divide $\frac{26}{4}$
Solution:

From above we see that dividend is 26 and divisor is 4.

While dividing $\frac{26}{4}$ we get quotient as 6 and remainder as 2.
As 2 will be the number left out after dividing the number completely.

We can verify the above result using the formula below
Dividend = (Quotient × Divisor) + Remainder
Plugging in the values we get,

26 = (6 $\times$ 4) + 2 = 24 + 2 = 26.

As 26 = 26 we say that our answer is correct.

Therefore,  $\frac{26}{4}$ gives quotient = 6 and remainder = 2.