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

**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: 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.

**4.** 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)

**5.** Divide: 798.3 ÷ 36

798.3 ÷ 36

**Therefore, **798.3 ÷ 36 = 22.175

**6.** Divide: 0.007 ÷ 14

0.007 ÷ 14

**7.** 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)

**8.** Divide: 316.84 ÷ 8

316.84 ÷ 8

Therefore, 316.84 ÷ 8 = 39.605

**9.** 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)

**10.** 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)

**● Decimal.**

**Expanded form of 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.**

**Problems on Addition of Decimal Fractions**

**Subtraction of Decimal Fractions.**

**Problems on Subtraction of Decimal Fractions**

**Multiplication of a Decimal Numbers.**

**Multiplication of a Decimal by 10, 100, 1000**

**Multiplication of a Decimal by a Decimal.**

**Properties of Multiplication of Decimal Numbers.**

**Problems on Multiplication of Decimal Fractions**

**Division of a Decimal by a Whole Number.**

**Division of Decimal Fractions by Multiples.**

**Division of a Decimal by a Decimal.**

**Division of a whole number by a Decimal.**

**Properties of Division of Decimal Numbers**

**Problems on Division of Decimal Fractions**

**Conversion of fraction to Decimal Fraction.**

**5th Grade Math Problems**

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