How to do Long Division?
Long Division Method is performed by subtracting the dividend by a multiple of the divisor which is either equal to or less than the dividend. Division is one of the four basic arithmetic operations used in a range of applications from daily life stuff to complex mathematical calculations. Let’s learn the steps involved in the Long Division Method.
Steps to Calculate Long Division
While performing the Long Division Method we need to follow the below-mentioned steps
Step 1: Observe the dividend digit by digit from the left-hand side and check if it is greater than or equal to the divisor. You should not consider the whole dividend for the division. You should consider the first one, two, or three digits of the dividend from Left Hand Side that should be at the maximum nearest 9th multiple of the divisor.
Step 2: Take the multiple of divisor which is equal to or nearest but less than the dividend. At this stage, the quotient should be not greater than 9.
Step 3: The multiple of the divisor is subtracted from the dividend. You will get the difference.
Step 4: Besides the difference that you got, bring down the next digit of the dividend and divide using step 2.
Step 5: Repeat the process until no digit of dividend is left and the remainder is either zero or less than the divisor.
Now we will use these steps in performing division and learn different cases of Divison.
Long Division Example
A solved Example of Long Division has been discussed below:
Example: Find the quotient and remainder when 12456 is divided by 24.
To find the quotient and remainder for dividend = 12456 and divisor = 24, we can perform long division as follows:
Long Division Method
Long Division is a technique of dividing numbers, algebraic expressions, and decimals stepwise and sequentially. In this technique the number which is to be divided is called Dividend, the number which divides is called Divisor, the number which we get as a result of division is called a Quotient, and the number which is left as extra on dividing is called Remainder.
In this article, we will learn in detail about the long division method, the components of the long division method, the Division Algorithm, the division of numbers, decimals, and algebraic expression.
Table of Content
- What is Long Division Method?
- Components of Long Division Method
- How to do Long Division?
- Calculate Long Division of Numbers
- Long Division by 2-Digit Number
- Long Division of Polynomials
- Long Division with Decimal
- Division of Decimals by a Whole Number
- Dividing a Number to Decimal Places
- Long Division Application
- Division by Repeated Subtraction
- Division Algorithm
- Long Division Problems
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