Long department is a method for dividing large numbers, which division the department problem into multiple steps complying with a sequence. Similar to the regular department problems, the dividend is split by the divisor which provides a result known together the quotient, and sometimes it provides a remainder too. This write-up will give you summary of the long department method in addition to its steps and examples.

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1.What is Long division Method?
2.Parts that Long division Equation
3.How come Do long Division?
4.FAQs on long Division

What is Long department Method?


In math, long division is a technique for dividing huge numbers into steps or parts, break the department problem right into a succession of simpler steps. It is the most common technique used to resolve problems based upon division. Watch the complying with long division to watch the divisor, the dividend, the quotient, and the remainder.

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Parts that Long division Equation


As you have seen above, when performing the steps of long division, there is one equation formed which is well-known as the long division equation. Because that example, while splitting 75 by 4, we gain 75 = 4 × 18 + 3 wherein 75 is the dividend, 4 is the divisor, 18 is the quotient, and also 3 is the remainder. The general type of a long division equation is "Dividend = Divisor × Quotient + Remainder". Below are the terms regarded a department which are additionally considered as the components of long division. They room the very same terms the are used in the continual division.

Have a look at the table given listed below in bespeak to understand the terms concerned the long department with reference to the example shown above.

DividendDivisorQuotientRemainder
The number which has to be divided.75
The number which will certainly divide the dividend.4
The result of division.18
The leftover component or the number left after specific steps and also cannot be split further.3

How to Do long Division?


The division is among the four simple mathematical operations, the various other three gift addition, subtraction, and also multiplication. In arithmetic, long department is a standard division algorithm because that dividing big numbers, breaking down a division problem into a collection of less complicated steps.

Long division Steps

To perform division requires the construction of a tableau. The divisor is separated native the dividend by a appropriate parenthesis 〈)〉 or vertical bar 〈|〉 and also the dividend is separated native the quotient through a vinculum (an overbar). Now, let united state follow the measures of the long department given listed below to understand the process.

Step 1: take the an initial digit the the dividend indigenous the left. Examine if this digit is higher than or equal to the divisor.Step 2: Then division it through the divisor and write the price on height as the quotient.Step 3: Subtract the an outcome from the digit and also write the difference below.Step 4: carry down the next digit of the dividend (if present).Step 5: Repeat the very same process.

Let's have a look at the examples given below for a better understanding that the concept.

Case 1: once the very first digit that the dividend is same to or better than the divisor.

Let's consider an example: division 435 ÷ 4. The procedures of long department are offered below:

Here, the an initial digit of the dividend is 4 and also it is equal to the divisor. So, 4 ÷ 4 = 1. So, 1 is composed on height as the very first digit of the quotient.Subtract: 4 - 4 = 0.Bring the second digit the the dividend down and also place it as well as 0.Now, 3Write 8 in the quotient. Subtract: 35 - 32 = 3.3

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Case 2: as soon as the very first digit of the dividend is less than the divisor.

Let's consider an additional example: division 735 ÷ 9.

Since the an initial digit that the dividend is less than the divisor, placed zero as the quotient and also bring down the following digit that the dividend. Now consider the an initial 2 digits to proceed with the division.73 is no divisible by 9 however we understand that 9 × 8 = 72 so, we go because that it.Write 8 in the quotient and subtract 73 - 72 = 1.Bring down 5. The number come be thought about now is 15.Since 15 is not divisible by 9 but we understand that 9 × 1 = 9, so, we take 9.Subtract: 15 - 9 = 6. Create 1 in the quotient.Now, 6

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Case 3: when the divisor doesn't go through the first digit the the dividend.

Let's solve one an ext example: division 3640 ÷ 15.

Since the an initial digit the the dividend is not divisible through the divisor, we consider the very first two digits (36).Now, 36 is not divisible by 15 but 15 × 2 = 30, so, compose 2 together the an initial digit in the quotient.Write 30 below 36 and also subtract 36 - 30 = 6.Since 664 is no divisible through 15 however 15 × 4 = 60, so, write 4 in the quotient.Write 60 listed below 64 and subtract 64 - 60 = 4.Since 4Since 40 is not divisible by 15 yet 15 × 2 = 30, so, create 2 in the quotient.Write 30 listed below 40 and also subtract 40 - 30 = 10.Now 10

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Long division problems also include problems related to long division polynomials and also long department with decimals.

Long department of Polynomials

When there are no typical factors between the numerator and the denominator, or if friend can't discover the factors, you deserve to use the long division process to leveling the expression. For more details about long department polynomials, visit the dividing Polynomials page.

Long department with Decimals

Long department with decimals have the right to be quickly done just like the normal division. For an ext details about long department with decimals, visit the splitting Decimals page.

Long department Calculator

A long department calculator with procedures is a basic online tool to solve division problems with a solitary click. It will assist you to discover the values of quotient and also remainder by beginning the values of dividend and divisor.

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Long department Tips and also Tricks:

Given listed below are a few important tips and also tricks that would help you while working with lengthy division:

The remainder is constantly smaller than the divisor.For division, the divisor can not be 0.The department is repetitive subtraction, so us can check our quotient by repetitive subtractions as well.If the remainder is 0, then we can examine our quotient by multiply it v the divisor. If the product is same to the dividend, then the quotient is correct.

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