The knowledge of the method of Dividing whole numbers with long division presentation is a prerequisite here. Once you master Dividing whole numbers, the methods described here, are easy to follow.

But remember that, simple things need perfection and perfection is not a simple thing.

Study the Examples and solve the problems given in exercise and check with the Answers.

Dividing Decimals by 10, 100, 1000 etc.

When a decimal number is divided by 10, the decimal point moves to the left by one place.

When a decimal number is divided by 100, the decimal point moves to the left by two places.

When a decimal number is divided by 1000, the decimal point moves to the left by three places.

and so on.

Thus, we observe :

When a decimal number is divided by numbers like 10, 100, 1000...., the decimal point in the given decimal number moves as many places to the left as the number of zeros in the divisor. If there are not enough (adequate) places on the left side, we keep '0' s in those places and keep the decimal point.

Examples :

9.62 ÷ 10 = 0.962 ( decimal point shifted 1 place to the left )

1.13 ÷ 10000 = 0.000113 ( decimal point shifted 4 places to the left )

6.9732 ÷ 1000 = 0.0069732 ( decimal point shifted 3 places to the left )

0.01 ÷ 100 = 0.0001 ( decimal point shifted 2 places to the left )

999999 ÷ 100000 = 9.99999 ( decimal point shifted 5 places to the left )

Dividing Decimals by Whole Number

Step 1 : Perform the Division of the decimal number by the whole number in the usual manner.

Step 2 : When the division of whole number part of the dividend is complete, put the decimal point in the quotient and proceed with the division as in case of whole numbers.

Continue the process till the remainder is zero. Add zeros to the extreme right end of the dividend, if required.

Step 1 : Convert the divisor into a whole number by multiplying the dividend and the divisor by a suitable power of 10. Step 2 : Now divide the new dividend by the whole number so obtained as explained above.

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