# Division of Decimal Fractions

This topic would deal with division of decimal fractions. Like we learnt multiplication with 10, 100 and 1000 here we will also learn about division of decimal fractions with 10, 100, 1000. There are certain short cut rules which can be applied for division of decimal fractions by 10, 100, 1000.

Rules for division of decimal fractions by 10, 100, 1000:

I: For dividing decimal fractions by 10, 100, and 1000 we need to count the number of zeros first after the digit 1.

II. If there is 1 zero then the decimal point will move one step left of the decimal point in dividend, if there are 2 zeros the decimal point will move two places left of the decimal point in dividend, if there are 3 zeros the decimal point will move 3 places left of the decimal point in the dividend and likewise it will go on.

III. As we have seen that in case of multiplication with 10, 100, and 1000 the decimal point moves right of the multiplicand. Whereas, in case of division the decimal point  moves left in the dividend.

For example;

75.423 ÷ 10

Here it is division by 10. Hence the decimal point will move one place to the left that is it will be placed after 7.

= 7.5423

Here are few more examples to illustrate division of decimal fractions by 10, 100 and 1000

1. 85.96 ÷1000

There are three zeros (i.e. 1000) hence the decimal point will move 3 places to the left. But before the decimal point there are two digits hence we need to put zero in front of the number so that the decimal can move three places. That is

= 0.08596

2. 155.26 ÷ 100

There are two zeros hence the decimal point will move 2 places to the left. Therefore the decimal point will be placed after 1. That means

= 1.5526

3. 50.96 ÷ 10

There is one zero hence the decimal point will move 1 places to the left. Therefore the decimal point will be placed after 5. That means

= 5.096

4. 7.854 ÷ 10

There is one zero hence the decimal point will move 1 places to the left. Therefore the decimal point will be placed before 7. That means

= 0.7854

5. 5547.52 ÷ 10000

There are four zeros hence the decimal point will move 4 places to the left. Therefore the decimal point will be placed before 5. That means

= 0.554752

6. 703.96 ÷ 1000

There are three zeros hence the decimal point will move 3 places to the left. Therefore the decimal point will be placed before 7. That means

= 0.70396

7. 2.374 ÷ 100

There are two zeros hence the decimal point will move 2 places to the left. But before the decimal point there is only one digit hence we need to put zero in front of the number so that the decimal can move two places. That is

= 0.02374

8. 425.58 ÷ 100

There are two zeros hence the decimal point will move 2 places to the left. Therefore the decimal point will be placed after 4. That means

= 4.2558