Long Division Application

Long Division Method has got its application in finding Highest Common Factor (HCF), Lowest Common Multiple, and Finding Square Root apart from solving basic arithmetic problems.

Highest Common Factor by Long Division Method

Highest Common Factor popularly called HCF is the largest factor of two given numbers. Highest Common Factor of two numbers can be find out using Long Division Method. Let’s understand through it an example

Example: Find the HCF of 16 and 24

Lowest Common Multiple by Long Division Method

Lowest Common Multiple popularly called LCM is the lowest multiple of two numbers which is common to both Numbers. Let’s Understand it through an Example:

Example: Find the LCM of 16 and 24 using Long Division Method

Square Root by Long Division Method

We can find the square root of a number using Long Division Method. Let’s learn using the following Example.

Example: Find the Square Root of 144

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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What is Long Division Method?

Long Division Method is a method of dividing large numbers, algebraic expressions, and decimals by breaking them into smaller numbers at every step. In this method, the dividend is subtracted by a number which is the multiple of the divisor nearest but less than the dividend....

Components of Long Division Method

There are four components of the long division method, these are dividend, divisor, quotient, and remainder....

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....

Calculate Long Division of Numbers

In this case, we will learn to divide numbers into two categories. One is division with remainder and the other is division without remainder....

Long Division by 2-Digit Number

In this, the steps and process followed are the same as that in one digit just in this case divisor is of two digits hence we have to see the first two digits of the dividend are greater, equal, or less than the divisor. Let’s understand with the help of an Example of Long Division...

Long Division of Polynomials

In the long division of polynomials, observe the degree of dividend and the divisor and write the quotient in such a manner that the product of the quotient and divisor is the term equal to the first term of the dividend. The Long Division of Polynomial Let’s understand this in steps....

Long Division with Decimal

The long division of decimals is done in a similar way as the long division of numbers with a reminder that when the decimal comes, put that decimal in the quotient at that time. Let’s learn how to divide a decimal by a whole number....

Division of Decimals by a Whole Number

Let’s understand how to divide a decimal by a whole number in a stepwise manner with the help of an example....

Dividing a Number to Decimal Places

In this case, we try to divide a number to the required number of decimal places or till we get zero as the remainder. Let’s learn the steps of dividing a number to decimal places using examples...

Long Division Application

Long Division Method has got its application in finding Highest Common Factor (HCF), Lowest Common Multiple, and Finding Square Root apart from solving basic arithmetic problems....

Division by Repeated Subtraction

In division by repeated subtraction, the dividend is subtracted by the divisor and the difference of the previous step is subtracted by the divisor in the next step until we get zero or a number that is less than the divisor. The number of steps taken to get zero or the number less than the divisor is the quotient. Let’s understand it with examples...

Division Algorithm

Division Algorithm is a way of testing if your long division method is correct or not. Division Algorithm states that when the product of the divisor and quotient is added to the remainder, it gives the dividend....

Long Division Problems

Some Long Division Questions have been discussed below with their detailed solution:...

FAQs on Long Division Method

What is Long Division Method?...

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