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

Dividing Decimal by a Decimal Number











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

Word Problems on Division of Decimal











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

Related Concept

Decimals

Decimal Numbers

Decimal Fractions

Like and Unlike Decimals

Comparing Decimals

Decimal Places

Conversion of Unlike Decimals to Like Decimals

Decimal and Fractional Expansion

Terminating Decimal

Non-Terminating Decimal

Converting Decimals to Fractions

Converting Fractions to Decimals

H.C.F. and L.C.M. of Decimals

Repeating or Recurring Decimal

Pure Recurring Decimal

Mixed Recurring Decimal

BODMAS Rule

BODMAS/PEMDAS Rules - Involving Decimals

PEMDAS Rules - Involving Integers

PEMDAS Rules - Involving Decimals

PEMDAS Rule

BODMAS Rules - Involving Integers

Conversion of Pure Recurring Decimal into Vulgar Fraction

Conversion of Mixed Recurring Decimals into Vulgar Fractions

Simplification of Decimal

Rounding Decimals

Rounding Decimals to the Nearest Whole Number

Rounding Decimals to the Nearest Tenths

Rounding Decimals to the Nearest Hundredths

Round a Decimal

Adding Decimals

Subtracting Decimals

Simplify Decimals Involving Addition and Subtraction Decimals

Multiplying Decimal by a Decimal Number

Multiplying Decimal by a Whole Number

Dividing Decimal by a Whole Number

Dividing Decimal by a Decimal Number







7th Grade Math Problems

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