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Long Division – Method & Uses

by Laxman Thapa
Long Division - Method & Uses

Long division is a standard division algorithm that is simple enough to perform by hand for dividing multi-digit Arabic numerals (Positional notation). It simplifies a division problem by breaking it down into smaller steps. As in all division problems, one number, called the dividend, is divided by another, called the divisor, yielding the quotient. It allows you to perform computations involving arbitrarily large numbers by following a series of simple steps.

The method division involves – divide two numbers, a dividend, and a divisor, and finding the remainder as a quotient. Learn how to solve long division problems with remainders, or practice your own long division problems and use this calculator to check your answers.

One of two methods for doing long division by hand is a long division with remainders. It is a little easier than finding a quotient answer with a decimal to solve a division problem.

The Term Divide

Division is one of the four fundamental mathematical operations, along with addition, subtraction, and multiplication. Long division is a standard division algorithm used in arithmetic for dividing large numbers, breaking down a division problem into a series of easier steps.

To divide means to divide into two or more equal parts, areas, classes, categories, groups, or divisions. In layman’s terms, divide means to distribute the entire thing to a group in equal parts or to make equal parts. Assume a square’s diagonal divides it into two equal-area triangles. A division operation’s result may or may not be an integer. Occasionally, the outcome will be in the form of decimal numbers.

Definition Of Long Division

We now know what the term divide means! Let’s discuss the term long division. Long Division is a method for dividing large numbers that divides the problem into multiple steps that follow a sequence. The dividend is divided by the divisor in the same way that regular division problems are, yielding a result known as the quotient and, in some cases, a remainder. This lesson will introduce you to the long division method.

Steps Involved in Long Division

The long division method involves these five steps –

The Letter D Divide
The Letter M Multiply
The Letter S  Subtract
The Letter B Bring down
The Letter R Repeat or Remainder

Why Long Division?

Long division aids in breaking down the division problem into a series of simpler steps. As with all division problems, a large number, known as the dividend, is divided by another number, known as the divisor, to yield a result known as the quotient and, in some cases, a remainder.

How To Divide Step by Step?

The division method can be broken down into four steps that use four operations: divide, multiply, subtract, and bring down.

Step 1: Identify the appropriate integer and divide the given number by divisor.

Step 2: Multiply the divisor and the integer (quotient) to get the number to deduct from the dividend.

Step 3: Subtract the dividend from the number.

Step 4: Subtract the remainder and any additional digits from the dividend.

Step 5: Repeat the preceding steps until the remainder is equal to or less than the divisor.

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