Shortcuts methods of Division math | Tips and tricks for math division

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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