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

Dividing a Decimal by a Decimal Video

Subscribe to our YouTube channel for the latest videos, updates, and tips.



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.

Addition of Decimal Fractions.

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.





5th Grade Numbers Page

5th Grade Math Problems

From Division of a Decimal by a Decimal to HOME PAGE




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.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 11, 25 02:14 PM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  2. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    Read More

  3. Combination of Addition and Subtraction | Mixed Addition & Subtraction

    Jul 08, 25 02:32 PM

    Add and Sub
    We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add

    Read More

  4. Addition & Subtraction Together |Combination of addition & subtraction

    Jul 08, 25 02:23 PM

    Addition and Subtraction Together Problem
    We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and…

    Read More

  5. 5th Grade Circle | Radius, Interior and Exterior of a Circle|Worksheet

    Jul 08, 25 09:55 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More