# Divide by Repeated Subtraction – Definition, Facts, Examples | How to do Division With Repeated Subtraction?

The division is the process of splitting a group of objects into equal parts. It is one of the basic operations of arithmetic. Subtraction is also an arithmetic operation. The repeated subtraction is a method of solving the division. Here, we will discuss the repeated subtraction meaning, how to divide two numbers using repeated subtraction and example questions in the following sections.

## What is Repeated Subtraction?

Subtraction is a process used to find the difference between any two numbers. Repeated subtraction means finding the difference between the numbers continuously.Â The division problems can be solved using multiplication or long division or short division or repeated subtraction. The parts of division are dividend, divisor, quotient and remainder. Get the detailed process for Divide by Repeated Subtraction in the below segments of this page.

### How to Divide Using Repeated Subtraction?

Follow the steps that are listed to find the division with the repeated subtraction process.

• Get dividend (the number which is divided by the divisor) and divisor (number by which divided is to be divided).
• Subtract divisor from the dividend.
• Again subtract the divisor from the obtained difference.
• Repeat the subtraction process until you get a number that is less than the divisor.
• The number of times the subtraction process is completed is called the quotient.
• The number that is left at the end of subtraction is called the remainder.

### Divide using Repeated Subtraction Method Examples

Example 1:
Solve 81 Ã· 9.
Solution:
Given that,
Divisor = 81
Dividend = 9
Subtract 9 from 81 repeatedly.
81 – 9 = 72
72 – 9 = 63
63 – 9Â  = 54
54 – 9 = 45
45 – 9 = 36
36 – 9 = 27
27 – 9 = 18
18 – 9 = 9
9Â  – 9 = 0
Here, 81 is subtracted 9 times from the number 9 and get the remainder 0.
Hence, 81 Ã· 9 = 9, 9 is the quotient.

Example 2:
Divide 120 Ã· 15.
Solution:
Given that,
Dividend = 120
Divisor = 15
Subtract 15 from 120 repeatedly.
120 – 15 = 105
105 – 15 = 90
90 – 15 = 75
75 – 15 = 60
60 – 15 = 45
45 – 15 = 30
30 – 15 = 15
15 – 15 = 0
Here, 120 is subtracted 8 times from the number 15 and get the remainder 0.
Hence, 120 Ã· 15 = 8, 8 is the quotient.

Example 3:
Divide 20 Ã· 4.
Solution:
Given that,
Dividend = 20
Divisor = 4
Subtract 4 from 20 repeatedly.
20 – 4 = 16
16 – 4 = 12
12 – 4 = 8
8 – 4 = 4
4 – 4 = 0
Here, 20 is subtracted 5 times from the number 4 and get the remainder 0.
Hence, 20 Ã· 4 = 5, 5 is the quotient.

### FAQs on Division Using Repeated Subtraction

1. How do you divide with subtraction?
Subtraction is one of the arithmetic operations that is used to calculate the difference between two numbers. To divide the numbers, we can use the repeated subtraction method. Repeated subtraction is nothing but subtract divisor from the dividend repeatedly. The number of times subtraction done is called the quotient.

2. Explain dividend, divisor, quotient and remainder?
The dividend is the number that is o be divided and a divisor is a number which is dividend is to be divided. The output of the division process is the quotient. The number leftover after division is the remainder.
The division formula is Dividend Ã· divisor = quotient + remainder

3. What is a repeated subtraction example?
The repeated subtraction means performing the subtraction operation continuously. The example is divided 48 persons into 8 groups. Subtract 8 from 48.
48 – 8 = 40 – 8 = 32 – 8 = 24 – 8 = 16 – 8 = 8Â  – 8 = 0. Here, the subtraction is done 6 times. So, the each group has 6 members.

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