Divide Numbers Easily Using Vedic Mathematics: Fast and Easy Division Techniques

Updated on November 14, 2014
Learn division with Vedic mathematics.
Learn division with Vedic mathematics.

What Is Vedic Mathematics?

Vedic mathematics is a technique for solving algebra quickly and simply. It was invented by Bharati Krishna Tirthaji, who published a book with the same title in 1965. Tirhaji was a famous Hindu cleric, and he claimed to have discovered the technique in ancient sacred Hindu texts.

Whether or not he really did is debatable; what is not is that the math checks out. Whether you want to be able to effortlessly split a check, to impress your friends, or to learn a different way to quickly divide numbers, this tried-and-true method can be learned within minutes.

Key Terms

The four vocabulary words you will need to know in order to follow these division directions.
The four vocabulary words you will need to know in order to follow these division directions.

Above are the four vocabulary words that you will need to know in order to divide. If you are having a hard time keeping them straight, consider the following:

  • A dividend is the number you have beforehand.
  • A divisor is the number doing the dividing, just like an advisor is the one doing the advising.
  • The only number anyone ever wants to quote is the answer, or quotient.
  • What remains after you finish dividing is the remainder.

Simple Vedic Division

An example of simple Vedic division.
An example of simple Vedic division.

Set it up:

Write the divisor before the dividend, then box off the left and bottom sides of the dividend in order to keep it visually separate.

Steps to divide:

  • 4 into 6 = 1 remainder 2. Write the 2 next to the following digit, 7, making it 27.
  • 4 into 27 = 6 remainder 3. Write the 3 next to the following digit, 1, making it 31.
  • 4 into 31 = 7 remainder 3.
  • The answer is 167 remainder 3.

You Try

Practice Vedic simple division with these three problems.
Practice Vedic simple division with these three problems.

Answer Key

Answers to practice Vedic division problems.
Answers to practice Vedic division problems.

Vedic Division with Decimals

What if you don't want a remainder? In that case, you can add a decimal point and 0s behind the dividend and continue the process.

Vedic division with decimals.
Vedic division with decimals.
  • Write the remainder, 3, next to the following digit, 0, making it 30.
  • 4 into 30 = 7 remainder 2. Write the 2 next to the following digit, 0, making it 20.
  • 4 into 20 = 5 remainder 0. Since the remainder is 0, you have already passed the decimal point, and there are no more values greater than 0, you have completed the problem.
  • The answer is 167.75.

In the example above, you can see that once you have passed the decimal point and no values greater than zero remain to the right, you are finished as soon as there is no remainder.

You Try

Solve question two from the practice problems to the nearest thousandth place.

Answer Key

The decimal answer to number two.
The decimal answer to number two.

How Do You Use Vedic Division When the Divisor Is More Than One Digit?

That's simple enough, but how do you use Vedic division when the divisor has more than one digit? The technique depends on what digit the divisor ends in. See the example below to learn how to divide with a divisor that ends in 9.

Multi-Digit Divisor Ending in 9 Example

Vedic division example with a divisor that ends in 9.
Vedic division example with a divisor that ends in 9.

Set it up:

Division can also be expressed as a fraction; here, 73 divided by 139 is the same thing as 73 over 139. Divide both the numerator and denominator of the fraction (the top and bottom number) by 10 so that the 9 is behind the decimal point. Then round the denominator (the bottom number) up—in this case, round up 13.9 to 14.

Then, like before, write the divisor before the dividend, then box off the left and bottom sides of the dividend in order to keep it visually separate.

Steps to divide (we'll round to the nearest ten-thousandth):

  • 14 does not go into 7, so write 0 followed by a decimal point.
  • 14 into 73 = 5 remainder 3. Make a note of the remainder, 3, in front of the 5, making it 35.
  • 14 into 35 = 2 remainder 7. Make a note of the remainder, 7, in front of the 2, making it 72.
  • 14 into 72 = 5 remainder 2. Make a note of the remainder, 2, in front of the 5, making it 25.
  • 14 into 25 = 1 remainder 11. Make a note of the remainder, 11 in front of the 1, making it 111.
  • 14 into 111 = 7 remainder 13.
  • The answer is 0.52517, which rounds to 0.5252.

Multi-Digit Divisor Ending in 8 Example

Vedic division example with a divisor that ends in 8.
Vedic division example with a divisor that ends in 8.

Set it up:

Follow the same set up as the previous problem. Here, 73 divided by 138 is the same thing as 73 over 138. Divide both the numerator and denominator of the fraction (the top and bottom number) by 10 so that the 8 is behind the decimal point. Then round the denominator (the bottom number) up—in this case, round up 13.8 to 14.

Then, like before, write the divisor before the dividend, then box off the left and bottom sides of the dividend in order to keep it visually separate.

Steps to divide (we'll round to the nearest ten-thousandth):

  • 14 does not go into 7, so write 0 followed by a decimal point.
  • 14 into 73 = 5 remainder 3. Make a note of the remainder, 3, in front of the 5, making it 35. Then add the quotient, 5, to 35 to get 40.
  • 14 into 40 = 2 remainder 12. Make a note of the remainder, 12, in front of the 2, making it 122. Then add the quotient, 2, to 122 to get 124.
  • 14 into 124 = 8 remainder 12. Make a note of the remainder, 12, in front of the 8, making it 128. Then add the quotient, 8, to 128 to get 136.
  • 14 into 136 = 9 remainder 10. Make a note of the remainder, 10 in front of the 9, making it 109. Then add the quotient, 9, to 109 to get 118.
  • 14 into 118 = 8 remainder 6.
  • The answer is 0.52898, which rounds to 0.5290.

How Do You Use Vedic Division When the Divisor Ends In a Digit Other Than 8 or 9?

The only difference between dividing by a divisor that ends in 8 and one that ends in any other digit is that you will add the quotient a different number of times. For divisors that end in 8, you add the quotient once in each step; for divisors that end in 7, you will add it twice, and so on. See the chart below for how many times you will add it for different end numerals.

Vedic Division with Multi-Digit Divisors

The End Numeral of the Divisor
Set Up (Always the Same)
First Part of Each Step (Always the Same)
How Many Times You Add the Quotient
9
Set up the division problem as a fraction. Divide the top and bottom by 10 and round the denominator up.
Find the quotient and remainder. Write down the quotient, then write the remainder before it.
Add the quotient 0 times.
8
Set up the division problem as a fraction. Divide the top and bottom by 10 and round the denominator up.
Find the quotient and remainder. Write down the quotient, then write the remainder before it.
Add the quotient 1 time.
7
Set up the division problem as a fraction. Divide the top and bottom by 10 and round the denominator up.
Find the quotient and remainder. Write down the quotient, then write the remainder before it.
Add the quotient 2 times.
6
Set up the division problem as a fraction. Divide the top and bottom by 10 and round the denominator up.
Find the quotient and remainder. Write down the quotient, then write the remainder before it.
Add the quotient 3 times.
5
Set up the division problem as a fraction. Divide the top and bottom by 10 and round the denominator up.
Find the quotient and remainder. Write down the quotient, then write the remainder before it.
Add the quotient 4 times.
4
Set up the division problem as a fraction. Divide the top and bottom by 10 and round the denominator up.
Find the quotient and remainder. Write down the quotient, then write the remainder before it.
Add the quotient 5 times.
3
Set up the division problem as a fraction. Divide the top and bottom by 10 and round the denominator up.
Find the quotient and remainder. Write down the quotient, then write the remainder before it.
Add the quotient 6 times.
2
Set up the division problem as a fraction. Divide the top and bottom by 10 and round the denominator up.
Find the quotient and remainder. Write down the quotient, then write the remainder before it.
Add the quotient 7 times.
1
Set up the division problem as a fraction. Divide the top and bottom by 10 and round the denominator up.
Find the quotient and remainder. Write down the quotient, then write the remainder before it.
Add the quotient 8 times.
If last digit is a 0, after the set up, you can carry on with simple Vedic division.

Comments

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    • profile image

      Himal 5 months ago

      3850÷ 3.1416

    • profile image

      Shweta 5 months ago

      How to divide 12064 by 12 using this formula in 3 ways

    • profile image

      Salman Haidar Laskar 9 months ago

      I was very good &interesting

    • profile image

      Jitendra 10 months ago

      How we can divide 1 by any 5 digit number quickly

    • profile image

      mickey goel 11 months ago

      not liked so much

    • profile image

      jaspreet 18 months ago

      That's great ..

      Very helpful..

    • profile image

      19 months ago

      Yaaaaa................ It is helpfull

    • profile image

      durgaprasad 2 years ago

      very nice

    • profile image

      dsfhskajdf 2 years ago

      very inter.. i have never seen it before in my life ♂☺☺♪♫☼

    • profile image

      dex 2 years ago

      This isnt really vedic math, this is the same as long division

    • profile image

      Rishav 3 years ago

      It really helped thanks very much.

    • profile image

      TheGuy 3 years ago

      What you have explained is not vedic methods. If you do not know, please do not post such things and insult vedic knowledge. These are more or less western methods.

    • profile image

      Kiran 3 years ago

      How to do the same on three digits/three digits (ex: 248/179) and three digits/four digits (ex: 248/3578). Please help

    • profile image

      sanket 3 years ago

      Thnx.. It helped

    • profile image

      hinal 4 years ago

      I thank you very much ...grateful to you if you do this with examples

    • profile image

      ------------- 4 years ago

      ......................................

    • profile image

      Jatish 4 years ago

      I thank you very very very..........................................much. But will you explain in detail how to divide when the denominator is 7,6,5,4,3,2,1.

      I would be very...........................grateful to you if you do this with examples

    • profile image

      vivekkumar 5 years ago

      great trick ........just keep doing the good work

    • profile image

      ramees.p 5 years ago

      thanx its amazing

    • profile image

      Shehzeen 6 years ago

      Its nice n amazing

    • profile image

      wafa 6 years ago

      very nice and amazing

    • profile image

      rahul 6 years ago

      Hey thanx mate it works lyk magic . . .but these tricks aren't hlping me in some kind of problems like 21/22 or 73/84 nd many others, would please hlp me out wid these kind of problems :-)

    • profile image

      Hary 6 years ago

      Great technique and thanks a lot.

    • profile image

      shiv paliwal 6 years ago

      really supreb.............

    • profile image

      BJT 6 years ago

      Nice technique, keep publish these type of methods, I will publish in my facebook wall with ur name.

    • profile image

      jastine kaye gaitano 6 years ago

      i really like it it help me very much thanks :)

    • profile image

      Michael Greenlaw 6 years ago

      This blog is full of mistakes.

      Answers are not correct.

      • 75/168=7.5/16.8=75./17= 0. 5 3 9 5 6 8 –Answer

      5 13 7 9 11 --Remainder

      This a problem with divisors ending in 9 not 8.

      Annswer is incorrect

    • profile image

      varsha 7 years ago

      Finally!!!a good vedic maths site!!!Liked dis method a lot!!!

    • profile image

      shehra 7 years ago

      woooow that's amazing

    • profile image

      shah alam  7 years ago

      very nice method

    • profile image

      Cameron 7 years ago

      Glad to know the tricks. but not enough to fill the thirst of my zeal to know.

    • profile image

      rik 8 years ago

      Is there an extension to this, say to divide a number like 1349 by 19 that is similar to the dividibg by 9?

    • profile image

      Jyoti 8 years ago

      Veri nice informative blog!

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