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HomeBest6 Best Shortcut Tricks to divide numbers in Vedic Mathematics

6 BEST SHORTCUT TRICKS TO DIVIDE NUMBERS IN VEDIC MATHEMATICS

webmaster Saturday, October 02, 2021

6 BEST SHORTCUT TRICKS TO DIVIDE NUMBERS IN VEDIC MATHEMATICS

Like Multiplication, Tirthaji Maharaj has classified tricks to Divide Numbers in
Vedic Mathematics in Specific and General Methods. Specific Division Methods can
be applied when numbers satisfy certain conditions like Divisor slightly less
than 100 or Divisor slightly greater than power of 10 or Divisor is ending with
9, etc. While General Multiplication Methods can be applied to any types of
numbers.

Depending of Divisor and Dividend, Division in Vedic Mathematics are classified
in the form of Sutras as below. Lets see the Vedic Mathematics
Division techniques:

1. Nikhilam Sutra (Specific Technique)
2. Paravartya Sutra (Specific Technique)
3. Anurupyena Sutra (Specific Technique)
4. Direct Flag Method (General Technique)
5. Ekadhikena Purvena (Specific Technique)
6. Vestanas (General Technique)

NIKHILAM SUTRA:

Nihilam Sutra is a Specific Method to Divide Numbers using Vedic Mathematics.
This Vedic Maths Division Method can be applied when Divisor is closer to power
of 10 BUT less than that of it.

Using Nikhilam Sutra, you can easily divide when divisor is like 98, 92, 995,
89997, etc.

Lets see division math tricks using Nikhilam Sutra. Example: 243/9

Process:�

1. 9 is 1(deficiency) less than 10(nearest power of 10). (that 1 is written in
white color below divisor in example)
2. Split Dividend in 2 parts (Quotient & Remainder) in such a way Remainder
to have same number of digits as that of Divisor. In this case its 1 digit.
3. Take 1st digit – 2 down as it is.
4. Multiply the above deficiency (1) with the 2 and put below 4 and add them
column wise to get 6.
5. Multiply deficiency (1) by 6 and put below 3 and add column wise to get 9.
6. As last column is filled, we stop the process.
7. We know the concept that Remainder can NEVER be >= Divisor,� as Remainder 9
is = our Divisor 9, we divide 9 by 9 to get Quotient 1 and Remainder as 0.
8. Add the Quotient 1 to original Quotient 26 to get 27.
9. Thus Quotient=27 & Remainder=0.

Click Here => To Check More Examples on Vedic Maths Tricks for Division using
Nikhilam Sutra.

PARAVARTYA SUTRA:

This is another Shortcut Method of Division in Vedic Mathematics.�

Paravartya Sutra is a Specific Method for division in Vedic Maths. This Vedic
Maths Division Method can be applied when Divisor is closer to power of 10 BUT
greater than that of it.

Using Paravartya Sutra, you can easily divide when divisor is like 123, 104,
1112, etc.

Lets see division math tricks using Nikhilam Sutra. Example: 432/11

# 432/11

* Discard the 1st digit(1) of Divisor(11) and take Transpose of remaining
digits(i.e. -1 or Bar 1).
* Split Dividend in 2 parts (Quotient & Remainder) in such a way that Remainder
part should have same number of digits thus obtained in 1st step.Thus
remainder part will have only 1 digit

* Now carry the same process as done with previous (Nikhilam) method.
* If any bar digit is present in final answer, convert to Normal method using
Vinculum.

Click Here => To check more examples of vedic division tricks using Paravartya
Sutra.

ANURUPYENA SUTRA

Anurupyena Sutra is another Specific Vedic Maths Division Tricks which shows how
to divide numbers when Nikhilam and Paravartya are not applicable.

Using Anurupyena Sutra, we multiply Divisor by a factor so that either Nikhilam
or Paravartya Sutra can be applied.

Example:� 1011/23

* Divisor is 23. Multiply by factor(4) to get 92 so that Nikhilam Sutra of
Division can be applied.
* As per Nikhilam Sutra, 92 is 8 less than 100 (base). Hence write 08 under 92
(Base is 100 so we need 2 digits)
* Apply Nikhilam Sutra as discussed previously.
* As per Anurupyena Sutra, multiply the Quotient by the factor used earlier
i.e.4.
* As we know the concept that Remainder can NEVER be >= Divisor,� as Remainder
91 is greater than our Divisor 23, we divide 91 by 23 to get Quotient 3 and
Remainder as 22.
* Add this Quotient 3 to original Quotient 40 to 43 as new Quotient.
* Thus Final Answer, Quotient = 43 and Remainder = 22.

Click here => Check Process and More Examples Vedic Maths Tricks of Anurupyena
Sutra.

VINCULUM PROCESS OF DIVISION

Vinculum is another division in vedic maths tricks which can be applied when
Divisor has digits greater than 5.

Using Vinculum Process, convert those bigger digits to smaller digit and then
apply Nikhilam Sutra or Paravartya Sutras of Division.

Example:

Click Here => Check More Examples on Division in Vedic Maths using Vinculum
Process.

DIRECT FLAG DIVISION:

Direct Division (Flag Method) is a general method of Division in Vedic
Mathematics shows shortcut to divide any types of numbers. It is a shortcut
method for division of large numbers.

SINGLE DIGIT FLAG

1234/12 –� Dividend = 1234 and Divisor = 12. Split divisor (12) in 2 parts (1
and 2) where division will be carried using ONLY 1(new divisor) and 2 is called
as flag. As flag is single digit, Split dividend in 2 parts such that 2nd part
will have same number as that of flag i.e. 1 digit.

PROCESS (SEE THE EXAMPLE FOR EACH STEP):

1. Division of 1 by 1 (Q=1 and R= 0). Write Q=1 and carry forward the
R=0(written in white under and between 1&2).
2. Multiply the new Q(1) with the flag(2) and subtract this product from 02 = 0
and divide this subtraction by 1. It gives Q= 0 and R= 0(Carry forward R=0).
(i.e. Multiply, Subtract, Divide)
3. Follow same above process, So multiply new Q(0) with flag(2) and subtract
this product from 03 = 3 and divide this subtraction by 1. It gives Q= 3 and
R= 0(Carry forward R=0).
4. For remainder we carry same process EXCEPT we don’t divide. (i.e. Multiply,
Subtract) So multiply new Q(3) with flag(2) and subtract this product from
04 = -2. As we get negative subtraction, we reduce the quotient by 1 and
increase the remainder by the 1st multiplier of new multiplier (1X1 =1). So
new Q = 2 and new R =1. (Refer Topic Work with Quotient and Remainder). We
carry this method till we don’t have negative subtraction.
5. Now Multiply the new Q(2) with the flag(2) and subtract this product from 14
= 10(positive) and put it down as it is.
6. So final answer: Quotient = 102 and Remainder = 10 (Remainder should always
< Divisor| (Refer Topic Work with Quotient and Remainder).

Click Here => Check the process and more examples of Direct Flag Method of Vedic
Maths.

EKADHIKENA PURVENA

It is another shortcut method of division in Vedic Maths when Divisor is ending
with 9.

Example 1/19:

For the denominator 19, the purva (previous) is 1.
Hence Ekadhikena purva (one more than the previous) is 1 + 1 = 2.
Now, As per Ekadhikena Purvena, we will be using 2 for Division purpose.

Steps:

* Divide 1 by 2 which gives Quotient as 0(written with yellow) and Remainder as
1 (written on left side of Quotient with White)
* Now divide 10 by 2 which gives Quotient as 5(written with yellow) and
Remainder as 0 (written on left side of Quotient with White)
* Now divide 05 by 2 which gives Quotient as 2(written with yellow) and
Remainder as 1 (written on left side of Quotient with White)
* Similarly go on carrying this process till you find same pair of Quotient and
Remainder is obtained.
* At the end we get 01, on dividing it by 2 we get Quotient as 0 and Remainder
as 1. So that means same series (from blue dot to blue dot) will keep on
repeating.
* So the series written in yellow color is final answer.

Ekadhikena Purvena can be applied to divisors ending with 8,7, 1,2,3 .

Click Here => To check More Examples of Ekadhiekna Purvena

VESTANAS

Vestanas also called as Osculators is General Method in Vedic Mathematics, which
is used to find a number is exactly divisible by the mentioned divisor.

Click Here => To understand the process and examples of Vestanas.

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