Division of a Decimal by a Decimal | Steps on How to Divide Decimals?

Looking for any help to divide a decimal by a decimal number? Then stay on this page. Here we are giving solved example questions on how to divide two decimal numbers. Interested students can read this complete page to know more details about the topic. Not only the easy procedure Division of a Decimal by a Decimal but also you can check the definition of decimal numbers in the further sections.

What are Decimals?

A decimal number is a number that has a whole number part and fractional part separated by a dot called a decimal point. The value of digits following the decimal point should be less than the value of 1. Some of the decimal numbers are 45.9, 708.3, etc.

How to Divide a Decimal by a Decimal?

Get the detailed steps on Dividing Decimal by a Decimal Number in the following sections. Follow these steps as it is to get the product easily and quickly.

• Take any two decimal numbers one as dividend and the other as the divisor.
• In general, dividend value should be more when compared to divisor value.
• Remove dot from the decimal numbers.
• Divide those two numbers.
• Place the decimal dot in the quotient.

Example 1:

Solve 15.5 ÷ 0.5 by eliminating the decimal places.

Solution:

The given divisor is 0.5 and the dividend is 15.5

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.

15.5 ÷ 0.5 = $$\frac { 155 }{ 10 }$$ ÷ $$\frac { 5 }{ 10 }$$

= $$\frac { 155 }{ 10 }$$ x $$\frac { 10 }{ 5 }$$ [reverse it to multiplication]

= $$\frac { 155 x 10 }{ 5 x 10 }$$

= $$\frac { 1550 }{ 50 }$$

Now divide the numbers as usual.

Therefore, 15.5 ÷ 0.5 = 31

Example 2:

Solve 1.296 ÷ 0.108.

Solution:

The given divisor = 0.108, dividend = 1.296

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

1.296 ÷ 0.108 = $$\frac { 1296 }{ 1000 }$$ ÷ $$\frac { 108 }{ 1000 }$$

= $$\frac { 1296 }{ 1000 }$$  x $$\frac { 1000 }{ 108 }$$ [reverse it to multiplication]

= $$\frac { 1296 x 1000 }{ 1000 x 108 }$$

= $$\frac { 1296000 }{ 108000 }$$

Now divide the numbers as usual.

Therefore, 1.296 ÷ 0.108 = 12

Example 3:

Solve 0.445 ÷ 0.05.

Solution:

The given divisor = 0.05, dividend = 0.445

Count the number of decimal digits in the divisor.

Move the decimal in a dividend that many places to the right.

So, 0.445 ÷ 0.05 = 44.5 ÷ 5

Write the divisor without the decimal. And add the decimal point to the quotient.

Therefore, 0.445 ÷ 0.05 = 8.9.

Example 4:

Solve 2.805 ÷ 0.11.

Solution:

The given divisor = 0.11, dividend = 2.805

Count the number of decimal digits in the divisor.

Move the decimal in a dividend that many places to the right.

So, 2.805 ÷ 0.11 = 280.5 ÷ 11

Write the divisor without the decimal. And add the decimal point to the quotient.

So, 2.805 ÷ 0.11 = 25.5.

FAQs on Division of a Decimal by a Decimal

1. How do you divide a decimal number by a decimal?

To divide two decimal numbers, move the decimal point in the divisor and dividend. The number we divide by is called the divisor and the number which divides is called the dividend. After removing the decimal point in the divisor, divide like normal. And add the decimal point to the obtained quotient.

2. How do you divide decimals without a calculator?

To divide the decimal by a decimal number without a calculator, follow the simple steps mentioned here.

3. What are the steps for dividing decimals?

Eliminate the decimal point in the divisor by moving the point to the left side. Just remove the decimal point in the dividend and divide those numbers as usual. And then add a decimal point to the quotient.

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