Decimal has ten as its base. Any proper fraction or improper fraction can be expressed in terms of decimals. The part of the fraction which is obtained when the numerator of the fraction is divided by the denominator of the fraction is expressed in decimals.

Unlike dividing whole numbers with decimals here you can add trailing zeroes in the dividend, and complete the problem without having remainders.

Rules for dividing decimals are given below:

For the given problem, divide it without decimals.
Put the decimal point in the appropriate position and give the solution.

Solved Example

Question: Divide 0.32 by 0.16
Solution:
 
0.32 = $\frac{32}{100}$

0.16 = $\frac{16}{100}$

Division = $\frac{\frac{32}{100}}{\frac{16}{100}}$

Therefore, $\frac{32}{16}$ = 2
 

To divide a decimal number by a whole number, use Long Division method. While dividing ignore the decimal point and place as you would for whole numbers. Place a decimal point in the answer at the same spot as the dividend.

Example: Divide $\frac{73.59 }{2}$
 
Dividing Decimals

Solved Examples

Question 1: 3.6 by 0.6
Solution:
 
Consider the problem $\frac{3.6}{0.6}$

Dividing without decimal points, we get
$\frac{36}{6}$
= 6

3.6  ----- One decimal point
0.6  ----- One decimal point

So we add two decimal points after 6
6.00 which is same as 6 (6.00, 6.0, 6.0000 are all same means 6)

Therefore, 3.6 by 0.6 gives 6.
 

Question 2: Divide  4.8 by 1.2
Solution:
 
Consider the problem $\frac{4.8}{1.2}$

Dividing without decimal points, we get
$\frac{48}{12}$
= 4

4.8 ----- One decimal point
1.2 ----- One decimal point

So we add two decimal points after 4

Therefore, 4.8 by 1.2 gives 4.