# Dividing Decimal by a Decimal Number

Dividing decimal by a decimal number is just same like division as usual.

How to divide a decimal by a decimal number?

To divide a decimal by a decimal number follow the below steps:

Convert the divisor into a whole number by multiplying the dividend and divisor by the suitable power of 10.

Now, divide the new dividend by the whole number as discussed earlier.

Worked-out problems to find the quotient of a decimal by a decimal number:

Read the above explanation step-by-step and try to understand the examples on division of decimals.

1. Find the quotient of:

(i) Divide 96.075 by 6.3

Solution:

Since, the divisor has 1 decimal place.

Therefore, multiply the dividend and divisor by 10

i.e., (96.075 × 10)/(6.3 × 10) = 960.75/63

Now, divide 960.75 by 63

i.e., 960.75 ÷ 63

Divide the decimal number without the decimal point,

so we have 96075 ÷ 63 Since, 960.75 has 2 decimal places

Therefore, 960.75 ÷ 63 will also have 2 decimal places

Therefore, 960.75 ÷ 63 = 15.25

(ii) Divide 24.629 by 1.1

Solution:

Since, the divisor has 1 decimal place.

Therefore, multiply the dividend and divisor by 10

i.e., (24.629 × 10)/(1.1 × 10) = 246.29/11

Now, divide 246.29 by 11

i.e., 246.29 ÷ 11

Divide the decimal number without the decimal point,

so we have 24629 ÷ 11 Since, 246.29 has 2 decimal places

Therefore, 246.29 ÷ 11 will also have 2 decimal places

Therefore, 960.75 ÷ 63 = 22.39

Word problems on division of decimal by a decimal number:

2. The length of a rectangle is 1.5 m and its area is 14.295. Find its breadth.

Solution:

Length of a rectangle is 1.5

Area of a rectangle is 14.295

Therefore, breadth of the rectangle = Area/Length = 14.295/1.5

= (14.295 × 10)/(1.5 × 10)

= 142.95/15

= 9.53 m

3. If the cost of 9 books is $206.55, find the cost of 1 book. Solution: Number of books = 9 Cost of 9 books =$206.55

Therefore, cost of 1 book = $(206.55 ÷ 9) =$22.95

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