# Division of a Decimal by a Decimal

Division of a decimal by a decimal are discussed here.

1. 14.7 ÷ 2.1

Solution:

14.7 ÷ 2.1

[Count the number of decimal digits in the divisor and we observe that after decimal there is 1 number so we divide the number by 10.]

= 147/10 ÷ 21/10

= 147/10 × 10/21 [reverse it to multiplication]

= (147 × 10)/(10 × 21)

= 1470/210

Now divide the numbers as usual.

Therefore, 14.7 ÷ 2.1 = 7

2. 1.296 ÷ 0.108

Solution:

1.296 ÷ 0.108

[Count the number of decimal digits in the divisor and we observe that after decimal there are 3 numbers so we divide the number by 1000]

= (1296/1000) ÷ (108/1000)

= (1296/1000) × (1000/108)[reverse it to multiplication]

= (1296 × 1000)/1000 × 108)

= 1296000/108000

Now divide the numbers as usual.

Therefore, 1.296 ÷ 0.108 = 12

Alternative method of solving division of a decimal by a decimal

RULES

(i) Count the number of decimal digits in the divisor.

(ii) Move the decimal in dividend that many places to the right.

(iii) Write the divisor without the decimal.

(iv) Now divide the numbers as usual.

For example:

3. 8.005 ÷ 0.05

Solution:

8.005 ÷ 0.05

[Count the number of decimal digits in the divisor.]

[Move the decimal in dividend that many places to the right.]

800.5 ÷ 5

[Write the divisor without the decimal.]

[Now divide the numbers as usual.]

Therefore, 8.005 ÷ 0.05 = 160.1

4. 76.363 ÷ 0.7

Solution:

76.363 ÷ 0.7

[Count the number of decimal digits in the divisor.]

[Move the decimal in dividend that many places to the right.]

763.63 ÷ 7

[Write the divisor without the decimal.]

[Now divide the numbers as usual.]

Therefore, 76.363 ÷ 0.7 = 109.09

● Decimal.

Decimal Place Value Chart.

Expanded form of Decimal Fractions.

Like Decimal Fractions.

Unlike Decimal Fraction.

Equivalent Decimal Fractions.

Changing Unlike to Like Decimal Fractions.

Comparison of Decimal Fractions.

Conversion of a Decimal Fraction into a Fractional Number.

Conversion of Fractions to Decimals Numbers.

Subtraction of Decimal Fractions.

Multiplication of a Decimal Numbers.

Multiplication of a Decimal by a Decimal.

Properties of Multiplication of Decimal Numbers.

Division of a Decimal by a Whole Number.

Division of Decimal Fractions

Division of Decimal Fractions by Multiples.

Division of a Decimal by a Decimal.

Division of a whole number by a Decimal.

Conversion of fraction to Decimal Fraction.

Simplification in Decimals.

Word Problems on Decimal.

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Lines of Symmetry | Symmetry of Geometrical Figures | List of Examples

Aug 10, 24 04:16 PM

Learn about lines of symmetry in different geometrical shapes. It is not necessary that all the figures possess a line or lines of symmetry in different figures.

2. ### Symmetrical Shapes | One, Two, Three, Four & Many-line Symmetry

Aug 10, 24 02:25 AM

Symmetrical shapes are discussed here in this topic. Any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical. The line whi…

Aug 10, 24 01:59 AM

In 6th grade math practice you will get all types of examples on different topics along with the step-by-step explanation of the solutions.

4. ### 6th Grade Algebra Worksheet | Pre-Algebra worksheets with Free Answers

Aug 10, 24 01:57 AM

In 6th Grade Algebra Worksheet you will get different types of questions on basic concept of algebra, questions on number pattern, dot pattern, number sequence pattern, pattern from matchsticks, conce…