## Speed Math Division Shortcut tricks

**Division shortcuts** are very much helpful to save time in all our exams. As well as it will improve our** analytical thinking**. In this page we provided some examples of *division shortcut methods.*

Division process simply says as it is** arithmetic operation of equal parts distribution of a number.** If we have 10pens and it is to be distribute equally to 5 persons then each person get 2 pens (10/5 =2 ). So Division is the just** inverse of the multiplication process.**

First we know about some terminology like *divided, divisor, Remainder, quotient* in division math.

If percfect divisible numbers then we will write

**Dividend ÷ Divisor = Quotient.****Quotient × Divisor = Dividend.**

If remainder comes in division of numbers then we will write

**(Quotient × Divisor) + Remainder = Dividend.**

Divisibility Rules of numbers from 1 to 20 given this below link

Divisibility Rules for easy calculations of mathematics.

__Now we discuss examples of shortcut division methods.__

**Method – 1** : The dividend number in the given sum split as per our convenience. It is purely depended upon the our analytical thinking ability.

Example -1 : 25623 ÷ 168 = ?

First think about how to split the dividend in simple parts as per the given divisor.

Here i am splitting the dividend like 16800 + 8823. **(Ans: 100+ — )**

Now the number 8823 split as 8400 + 423.** (Ans: 100+50+ — )**

Again the number 423 split into 336 + 87. ** (Ans: 100+50+ 2+ — )**

Now take decimal point and take the number 870 split as 840+ 30. **(Ans: 152.51 _)**

If you wont more accurate then go for next step.

*Here provided diagram for better and easy understanding of division shortcut.*

Example -2 : 5821 ÷ 109 = ?

Here i am splitting the dividend like 5450 + 371. (Ans: 50+ — )

Now the number 371 split into 327 + 44. (Ans: 100+3+ — )

Now take decimal point and take the number 440 split as 436+ 4. (Ans: 53.40 _)

If you wont more accurate then go for next step.

Example -3 : 82146 ÷ 24329= ?

If given sum having five digits then cut the lost two digits from both divisor and dividend. It will not effect much more on final answer.

Now calculate only for 821 ÷ 243.

I am splitting the dividend like 729 + 92. (Ans: 3+ — )

Now take decimal point and take the number 920 and split as 729+191. (Ans: 3+ 0.3 _)

Again take decimal point and take the number 1910 and split as 1701+209. (Ans: 3.3+0.07+ _)

If you wont more accurate then go for next step.

**Method – 2 : **Division trick for numbers 5, 25 and 125 in place of divisor.

Example – 4 : 269874 ÷ 5 = ?

Here we apply the simple logic i.e 5 = 10 / 2 . When compare to division by 5, it is very easy to multiplying the number by 2

i.e 269874 ÷ (10 ÷ 2) = (269874 x 2 ) ÷ 10 = 539748 ÷ 10 = 53974.8

Example – 5 : 5697823 ÷ 5 = ?

Now simple we doing the dividend multiplying by 2 and put decimal point before the lost digit of quotient.

i.e 5697823 x 2 = 11395646. Now put the decimal point before lost digit

So 5697823 ÷ 5 = 1139564.6.

Example – 6 : 56824 ÷ 25 = ?

Here we apply the simple logic i.e 25 = 100 / 4. So simple we doing the dividend multiplying by 4 and put decimal point before the lost two digits of quotient.

i.e 56824 ÷ (100 ÷ 4) = ( 56824 x 4 ) ÷ 100 = 227296 ÷ 100 = 2272.96

Example – 7 : 23579 ÷ 125 = ?

Here we apply the simple logic i.e 125 = 1000 / 8. So simple we doing the dividend multiplying by 8 and put decimal point before the lost three digits of quotient.

i.e 23579 x 8 = 188632. and put the decimal point before the lost three digits

So 23579 ÷ 125 = 188.632

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## 5 thoughts on “Shortcuts methods of Division math | Tips and tricks for math division”

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(January 31, 2018 - 12:44 pm)[…] Shortcuts methods of Division math | Tips and tricks for math division […]

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