Division of Decimals with Whole Numbers

Dividing decimals is very much familiar to the division of whole numbers except for the decimal point. While dividing the decimal numbers, there are certain sets of rules which need to be followed but there are no changes in the basic process of the division. In Maths, decimals are referred to the specific types of numbers, with a whole number, and the fractional part is called the decimal point.

In this article, we are going to learn about how to divide decimals with whole numbers, how to divide decimals by whole numbers with remainders, what is the whole process and also going to solve divide decimals with whole numbers worksheets.

What is the Division of Decimals?

The division of decimals is similar to the division of the whole number and the whole process of the division. But in mind, we should be aware that the decimal point should be placed correctly in the quotient. A decimal number has a whole number part and a fractional part which is separated by a dot which is known as the decimal point. The digits after the decimal point carry a value that is smaller than 1.

For example, 34.15 is a decimal number in which 34 is the whole number part and 15 is the fractional part.

How to Divide Decimals with Whole Numbers Step by Step

There are certain rules for dividing the decimal in maths. In this paragraph, we are going to see how to divide decimals with whole numbers step by step:

Step 1: Write down the provided expression in the standard form of the division.

Step 2: Now, we need to divide the decimal number’s whole part by the divisor.

How to Divide Decimals With Whole Numbers Step By Step

Step 3: Then, put the decimal point in the quotient above the dividend’s decimal point and then bring down the tenth digit.

Step 4: If the tenth digits of the obtained dividend cannot be divided by the divisor, then write 0 in the quotient and front of the tenth digit. Or just proceed with the process of the division.

How To Divide Decimals With Whole Numbers Step By Step

Step 5: Lastly, keep repeating the steps and adding zeros in the dividend till 0 is obtained in the remainder.

How To Divide Decimals With Whole Numbers Step By Step

Therefore, in the end, we got the outcome of 19.26 $\div$ 4 is 4.815. It indicates that the quotient is 4.815 and the remainder is 0.

Let us take another example of the division of decimals by whole numbers with remainder, as here the remainder is not going to be zero.

How To Divide Decimals By Whole Numbers With Remainder

Solved Examples of How to Divide Decimals by Whole Numbers with Remainders and Without Remainders

Q1. Divide 230.5 by 5.

Solution:

How To Divide Decimals By Whole Numbers With Remainder, Zero

So, the quotient is 46.1.

Q 2. Find out the quotient of $56.21 \div 10$

Ans:

How To Divide Decimals By Whole Numbers With Remainder

Thus the quotient is 5.62.

Practice Questions

Here, let’s see some practice questions to get clarity on how to divide decimals by whole numbers:

Q 1. $0.8 \div 4$

Ans: 0.2

Q 2. $6.8 \div 2$

Ans: 3.4

Q 3. $0.3 \div 3$

Ans: 0.1

Q 4. $2.4 \div 4$

Ans: 0.6

Q 5. $22.4 \div 4$

Ans: 5.6

Divide Decimals by Whole Numbers Worksheet

Dividing decimals by whole numbers worksheets are aimed at teaching the arithmetic basics. Practising a variety of division problems will help boost students' confidence in dealing with decimals and whole numbers.

Divide Decimals By Whole Numbers Worksheet

Divide Decimals By Whole Numbers Worksheet

Summary

In this article, we have learned and discussed how to find the quotient in the division of decimals by the whole number and also how to divide decimals by the whole number with the remainder. We are also going to practise dividing decimals by a whole numbers worksheet. We have also learned a stepwise process in detail with enough examples of how to solve the problems related to the division of decimals with whole numbers in a much easier way. In Mathematics, a familiar division approach (as we do for whole numbers) is also followed for decimals.