# Division of a Decimal by a Whole Number

We will learn how to find the quotient in division of a decimal by a whole number.

To divide a decimal number by a whole number the division is performed in the same way as in the whole numbers. We first divide the two numbers ignoring the decimal point and then place the decimal point in the quotient in the same position as in the dividend.

The rules to divide a decimal by a whole number are:

(i) Divide as in division of numbers ignoring the decimal point.

(ii) When you reach the tenths digit, place the decimal in the quotient.

Note: When the number of digits in the dividend is less and the division is not complete, keep adding zeroes at every step till the division is complete as in example 1 and example 2.

1. Solve: 100.4 ÷ 25

100.4 ÷ 25

Therefore, 100.4 ÷ 25 = 4.016

2. Find 1.2 ÷ 25

1.2 ÷ 25

= (12/10) ÷ 25

= (12/10) ×(1/25)

= (12 × 1)/(10 × 25)

= 12/250 Alternative Method:

Therefore, 1.2 ÷ 25 = 0.048

3. Divide 115.8 by 6

Hence, 115.8 ÷ 6 = 19.3

4. Divide 335.8 by 23

Hence, 335.8 ÷ 23 = 14.6

5. Divide: 191.5 ÷ 5

191.5 ÷ 5 Therefore, 191.5 ÷ 5 = 36.3

This example shows that both dividend and quotient have decimal place i.e. 1.

6. Divide: 1.21 ÷ 11

First we will divide the decimal by the whole number ignoring decimal point.

Now put the decimal point in the quotient in such a way, that the decimal place in the quotient becomes equal to the decimal places in the dividend. Therefore, 1.21 ÷ 11 = 0.11 (dividend has 2 decimal places, therefore quotient also has 2 decimal places)

7. Divide: 798.3 ÷ 36

798.3 ÷ 36 Therefore, 798.3 ÷ 36 = 22.175

8. Divide: 0.007 ÷ 14

0.007 ÷ 14 Therefore, 0.007 ÷ 14 = 0.0005 (dividend has 4 decimal places, therefore quotient also has 4 decimal places)

9. Divide: 24.66 ÷ 12

24.66 ÷ 12 Therefore, 24.66 ÷ 12 = 2.05 (dividend has 2 decimal places, therefore quotient also has 2 decimal places)

10. Divide: 316.84 ÷ 8

316.84 ÷ 8 Therefore, 316.84 ÷ 8 = 39.605

11. Divide: 6.30 ÷ 7

6.30 ÷ 7 Therefore, 6.30 ÷ 7 = 0.90 (dividend has 2 decimal places, therefore quotient also has 2 decimal places)

12. Divide: 1020.102 ÷ 51

1020.102 ÷ 51 Therefore, 1020.102 ÷ 51 = 20.002 (dividend has 3 decimal places, therefore quotient also has 3 decimal places)

## You might like these

• ### 5th Grade Decimals Worksheet | Operations on Decimals | Comparing |Ans

In 5th Grade Decimals Worksheet contains various types of questions on operations on decimal numbers. The questions are based on formation of decimals, comparing decimals, Converting Fractions to Decimals, Addition of decimals, subtraction of decimals, multiplication of

• ### Comparison of Decimal Fractions | Comparing Decimals Numbers | Decimal

While comparing natural numbers we first compare total number of digits in both the numbers and if they are equal then we compare the digit at the extreme left. If they also equal then we compare the next digit and so on. We follow the same pattern while comparing the

• ### Expanded form of Decimal Fractions |How to Write a Decimal in Expanded

Decimal numbers can be expressed in expanded form using the place-value chart. In expanded form of decimal fractions we will learn how to read and write the decimal numbers. Note: When a decimal is missing either in the integral part or decimal part, substitute with 0.

• ### Division of Decimal Fractions | Decimal Point | Division of Decimal

Division of a decimal number by 10, 100 or 1000 can be performed by moving the decimal point to the left by as many places as the number of zeroes in the divisor. The rules of division of decimal fractions by 10, 100, 1000 etc. are discussed here.

Addition of decimal numbers are similar to addition of whole numbers. We convert them to like decimals and place the numbers vertically one below the other in such a way that the decimal point lies exactly on the vertical line. Add as usual as we learnt in the case of whole

• ### Simplification in Decimals |PEMDAS Rule | Examples on Simplification

Simplification in decimals can be done with the help of PEMDAS Rule. From the above chart we can observe that first we have to work on "P or Parentheses" and then on "E or Exponents", then from

• ### Worksheet on Decimal Word Problems |Prob Involving Order of Operations

Solve the questions given in the worksheet on decimal word problems at your own space. This worksheet provides a mixture of questions on decimals involving order of operations

• ### Worksheet on Dividing Decimals | Huge Number of Decimal Division Prob

Practice the math questions given in the worksheet on dividing decimals. Divide the decimals to find the quotient, same like dividing whole numbers. This worksheet would be really good for the students to practice huge number of decimal division problems.

• ### Worksheet on Multiplication of Decimal Fractions |Multiplying Decimals

We will practice the questions given in the worksheet on multiplication of decimal fractions. While multiplying the decimal numbers ignore the decimal point and perform the multiplication as usual and then put the decimal point in the product to get as many decimal places in

• ### Multiplication of a Decimal by a Decimal |Multiplying Decimals Example

To multiply a decimal number by a decimal number, we first multiply the two numbers ignoring the decimal points and then place the decimal point in the product in such a way that decimal places in the product is equal to the sum of the decimal places in the given numbers.

• ### Multiplication of Decimal Numbers | Multiplying Decimals | Decimals

The rules of multiplying decimals are: (i) Take the two numbers as whole numbers (remove the decimal) and multiply. (ii) In the product, place the decimal point after leaving digits equal to the total number of decimal places in both numbers.

• ### Multiplication of a Decimal by 10, 100, 1000 | Multiplying decimals

The working rule of multiplication of a decimal by 10, 100, 1000, etc... are: When the multiplier is 10, 100 or 1000, we move the decimal point to the right by as many places as number of zeroes after 1 in the multiplier.

• ### Worksheet on Subtraction of Decimal Fractions | Subtracting Decimals

We will practice the questions given in the worksheet on subtraction of decimal fractions. While subtracting the decimal numbers convert them into like decimal then subtract as usual ignoring decimal point and then put the decimal point in the difference directly under the

• ### Worksheet on Addition of Decimal Fractions | Word Problems on Decimals

We will practice the questions given in the worksheet on addition of decimal fractions. While adding the decimal numbers convert them into like decimal then add as usual ignoring decimal point and then put the decimal point in the sum directly under the decimal points of all

• ### Subtraction of Decimal Fractions |Rules of Subtracting Decimal Numbers

The rules of subtracting decimal numbers are: (i) Write the digits of the given numbers one below the other such that the decimal points are in the same vertical line. (ii) Subtract as we subtract whole numbers. Let us consider some of the examples on subtraction