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# What is Quotient Mean in Math?-A different Form of Quotient

August 25, 2022 written by Azhar Ejaz

The quotient is the results obtained when we divide one number by another number. For example, if we divide the number 9 by 3, we get the answer as 3, which is the quotient. The quotient can be an integer or a decimal number for exact divisions such as

20 ÷ 5 = 4, we have an integer as a quotient, and for divisions such as 13 ÷ 5 = 2.6, the quotient is a decimal. The quotient is always smaller than their dividend.

## What is Quotient?

The quotient is the results obtained when we divide one number by another number. The division is a method of distributing objects equally in groups and it is represented by a mathematical symbol (÷).

Note that the quotient is always less than their dividend.

For example: if we divide the number 15 by 3, we get the answer as 5, 5 is also known as the quotient.

## A Different Form of Quotient

The quotient can be a decimal or an integer number.

• When a number is completely divided by another number, the quotient is a whole number.

For example:

30 ÷ 5 = 6

6 is the whole number

• When a number is not completely divided by another number, the quotient is a decimal number.

For example:

19 ÷ 2 = 9.5

Is a decimal number

Such divisions leave a remainder, so there is another method of writing the result to such division problems, which is:

19 ÷ 2 = 9 R 1

Where,

Quotient = 9 and remainder = 1

## How to Determine the Quotient

The quotient is answered after the process of division is completed. This means when a divisor divides a dividend, the result that we get is the quotient. Division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication. The quotient is the answer to the division process.

Example: Determine the quotient 155 ÷ 6 using the long division method.

Solution:

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