Long division is a method for dividing huge numbers, which breaks the division problem into multiple steps adhering to a sequence. Just like the regular department problems, the dividend is separated by the divisor which gives a result known together the quotient, and sometimes it provides a remainder too. This lesson will give you summary of the long department method.

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1.What Is long Division?
2.Parts of lengthy Division
3.How to Do long Division?
4.FAQs on lengthy Division

What Is long Division?

In Math, long division is a technique for dividing big numbers right into steps or parts, breaking the division problem right into a succession of simpler steps. The is the many common an approach used to deal with problems based on division. Watch the following division to view the divisor, the dividend, the quotient, and the remainder.


Parts of lengthy Division

Here are the terms regarded a department which are additionally considered together the parts of long division. They space the very same terms the are supplied in the continuous division.


Have a look at the table given listed below in stimulate to recognize the terms related to department with reference to the example displayed above.

DividendThe number which needs to be divided.75
DivisorThe number which will divide the dividend.4
QuotientThe result of division.18
RemainderThe leftover component or the number left after particular steps and also cannot be split further.3

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

It needs the building and construction of a tableau. The divisor is separated native the dividend by a ideal parenthesis 〈)〉 or upright bar 〈|〉 and also the dividend is separated from the quotient by a vinculum (an overbar). Now, let us follow the steps given below to see how long division takes place.

Step 1: take it the first digit of the dividend. Check if this number is higher than or equal to the divisor.Step 2: Then division it by the divisor and write the price on optimal as the quotient.Step 3: Subtract the result from the digit and also write the distinction below.Step 4: carry down the following number (if present).Step 5: Repeat the same process.

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

Case 1: when the very first digit of the dividend is same to or greater than the divisor

Let's consider an example: divide 435 ÷ 4

Here, the very first digit the the dividend is 4 and also it is equal to the divisor. So, 4 ÷ 4 =1.1 is created on top.Subtract: 4-4=0,Bring the 2nd digit that the dividend down and place it besides 0.Now, 3Now, we have actually 35 as the brand-new dividend. 35 > 4. 35 is no divisible through 4, yet we understand that 4 × 8 = 32 compose 8 together the quotient. Subtract: 35-32=3.3


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

Let's consider one more example: division 735÷9

Since the an initial digit of the dividend is much less than the divisor, placed zero as the quotient and also bring down the next digit that the dividend. Now take into consideration the an initial 2 digits to proceed with the division.73 is not divisible by 9 but we recognize that 9 × 8 = 72 so, us go because that it.Write 8 together the quotient and subtract 73-72=1.Bring down 5. The number come be taken into consideration now is 15.Since 15 is no divisible through 9 but we know that 9 × 1 = 9, so, us take 9.Subtract: 15-9=6. Create 1 as the quotient.Now, 6


Case 3: as soon as the divisor doesn't go with the first digit the the dividend.

Let's fix one more example: division 3640 ÷15

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


Important Notes:

Given below are a couple of important points the would assist you while working with lengthy division:

The dividend is constantly greater than the divisor and also the quotient.The remainder is constantly smaller 보다 the divisor.For division, the divisor can not be 0.The division is repeated subtraction, so we can inspect our quotient by repeated subtractions as well.If the remainder is0, then we can inspect our quotient by multiplying it through the divisor.If the product is same to the dividend, climate the quotientis correct.

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

Long division of Polynomials

When there room no typical factors in between the numerator and the denominator, or if friend can't uncover the factors, you deserve to use the long department process to simplify the expression.For an ext details aboutlong department polynomials, visit the separating Polynomials page.

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Long department with Decimals

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