Division of a Decimal by a Whole Number

We will learn how to find the quotient in division of a decimal by a whole number.

To divide a decimal number by a whole number the division is performed in the same way as in the whole numbers. We first divide the two numbers ignoring the decimal point and then place the decimal point in the quotient in the same position as in the dividend.

The rules to divide a decimal by a whole number are:

(i) Divide as in division of numbers ignoring the decimal point.

(ii) When you reach the tenths digit, place the decimal in the quotient.

Note: When the number of digits in the dividend is less and the division is not complete, keep adding zeroes at every step till the division is complete as in example 1 and example 2.

1. Solve: 100.4 ÷ 25

100.4 ÷ 25

$Rules of Dividing Decimals$

Therefore, 100.4 ÷ 25 = 4.016

2. Find 1.2 ÷ 25

1.2 ÷ 25

= (12/10) ÷ 25

= (12/10) ×(1/25)

= (12 × 1)/(10 × 25)

= 12/250

Alternative Method:

$Rules of Dividing Decimals$

Therefore, 1.2 ÷ 25 = 0.048

3. Divide 115.8 by 6

$Division of a Decimal by a Whole Number$

Hence, 115.8 ÷ 6 = 19.3

4. Divide 335.8 by 23

$Dividing a Decimal by a Whole Number$

Hence, 335.8 ÷ 23 = 14.6

5. Divide: 191.5 ÷ 5

191.5 ÷ 5

Therefore, 191.5 ÷ 5 = 36.3

This example shows that both dividend and quotient have decimal place i.e. 1.

$Division of a Decimal by a Whole Number$

6. Divide: 1.21 ÷ 11

First we will divide the decimal by the whole number ignoring decimal point.

Now put the decimal point in the quotient in such a way, that the decimal place in the quotient becomes equal to the decimal places in the dividend.

Therefore, 1.21 ÷ 11 = 0.11 (dividend has 2 decimal places, therefore quotient also has 2 decimal places)

7. Divide: 798.3 ÷ 36

798.3 ÷ 36

Therefore, 798.3 ÷ 36 = 22.175

8. Divide: 0.007 ÷ 14

0.007 ÷ 14

Therefore, 0.007 ÷ 14 = 0.0005 (dividend has 4 decimal places, therefore quotient also has 4 decimal places)

9. Divide: 24.66 ÷ 12

24.66 ÷ 12

Therefore, 24.66 ÷ 12 = 2.05 (dividend has 2 decimal places, therefore quotient also has 2 decimal places)

10. Divide: 316.84 ÷ 8

316.84 ÷ 8

Therefore, 316.84 ÷ 8 = 39.605

11. Divide: 6.30 ÷ 7

6.30 ÷ 7

Therefore, 6.30 ÷ 7 = 0.90 (dividend has 2 decimal places, therefore quotient also has 2 decimal places)

12. Divide: 1020.102 ÷ 51

1020.102 ÷ 51

Therefore, 1020.102 ÷ 51 = 20.002 (dividend has 3 decimal places, therefore quotient also has 3 decimal places)

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