Long Division Method
What is Long Division Method?
Long Division Method is a method of dividing number by subtracting a multiple of divisor which is nearest to the dividend. It is a step wise divison method.
How to do Long Division Method?
Long Division Method is done by subtracting the multiple of divisor from the dividend at each step till we get a number that is less than divisor.
How to do Long Division in Step by Step manner?
The steps of perfroming Long Division is mentioned below:
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 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: Beside 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 types of Divison
What are the Components of Long Divison Method?
There are four components of long division method, Dividend, Divisor, Quotient and Remainder
What is Division Algorithm?
Division Algorithm states that, Dividend = Divisor ✕ Quotient + Remainder. It is a method to check if your division is correct or not.
What is Division by Repeated Subtraction?
In division by repeated subtraction, the dividend is subracted by the divisor and the difference obtained is again subtracted by divisor till we get zero or a number less than divisor. The number steps involved is the quotient and the difference obtained in the last step in the remainder.
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