 # Division of Decimal Fractions – Definition, Rules, Steps, Examples | How to Divide Decimal Fractions?

Hello students! Are you confused about the division of decimal fractions? Don’t worry as we will help you out to overcome the difficulty of the division of decimals with a brief explanation. Division of decimal fractions is similar to the decimal of whole numbers the only difference is that we put a decimal point after you get the result. Go through the steps on how to divide the decimal fractions from this page.

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## Decimal Fraction – Definition

A decimal fraction is a fraction where the denominator or bottom number is an exponent of 10 such as 10, 100, 1000, etc. In fact, we can write the decimal fractions with no bottom number and a decimal point which helps us to do basic calculations like addition, subtraction, multiplication, and division of fractions. Let us see one example to know how the decimal fraction looks like.
Example: 2/10 = 0.2 in decimal

### Rules for Dividing Decimal Fractions

There are certain rules to divide the decimal fractions by 10, 100, 1000, etc. We will discuss the rules of the division of decimal fractions here.
Rule 1: When you divide a decimal by 10, 100,.. or multiples of 10, you have to shift the decimal to the left as many zeros you see in the divisor.
Rule 2: If the number of places in an integral part is less then we have to put the required number of zeros to the left and then shift the decimal point.

### Examples on Division of Decimal Fractions

Example 1.
Division of decimal fraction 21.2 with multiple by 10?
Solution:
First divide 21.2 ÷ 10
We have to divide the given decimal by 10 which means we have to shift the decimal point to the left.
21.2/10
21.2/(1 × 10)
(21.2/2) × (1/10) = 1.06
Therefore 21.2 ÷ 10 = 1.06
21.2 is the dividend.
10 is the divisor.
1.06 is the quotient.

Example 2.
Division of decimal fraction 428.1 with multiple by 100?
Solution:
First divide 428.1 ÷ 100
We have to divide the given decimal by 100 which means we have to shift the two decimal point to the left.
428.1/100
428.1/(1 × 100)
(428.1/1) × (1/100) = 4.281
Therefore 428.1 ÷ 100 = 4.281
428.1 is the dividend.
100 is the divisor.
4.281 is the quotient.

Example 3.
Division of decimal fraction 146.8 with multiple by 60?
Solution:
First divide 146.8 ÷ 60
146.8/60
We have to divide the given decimal by 10 which means we have to shift the decimal point to the left.
146.8/(6 × 10)
(146.8/6)/(1/10) = 2.44
Therefore 146.8 ÷ 60 = 2.44
146.8 is the dividend.
60 is the divisor.
2.44 is the quotient.

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Example 4.
Division of decimal fraction 36.2 with multiple by 40?
Solution:
First divide 36.2 ÷ 40
36.2/40
We have to divide the given decimal by 10 which means we have to shift the decimal point to the left.
36.2/(4 × 10)
(36.2/4)/(1/10) = 0.905
Therefore 36.2 ÷ 40 = 0.905
36.2 is the dividend.
40 is the divisor.
Thus 0.905 is the quotient.

Example 5.
Division of decimal fraction 11.1 with multiple by 10?
Solution:
First divide 11.1 ÷ 10
11.1/10
We have to divide the given decimal by 10 which means we have to shift the decimal point to the left.
11.1/(1 × 10)
(11.1/1) × (1/10) = 1.11
Therefore 11.1 ÷ 10 = 1.11
11.1 is the dividend.
10 is the divisor.
Thus 1.11 is the quotient.

### FAQs on Division of Decimal Fractions

1. How do you write a decimal fraction?

Decimals can be written in a fraction form. To convert a decimal into a fraction, place the decimal number over its place value.

2. What is the decimal .5 as a fraction?

The decimal 0.5 as a fraction is 1/2.

3. What is 0.9 as a decimal fraction?

0.9 as a fraction is written as 9/10.

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