Division xx..9

This week, we are starting with a new section called as “Readers”…Here we will constantly publish the article submitted by the readers. The first reader who has spent his valuable time to come with the article based on Vedic Mathematics is Mr. Ankit Mundra.

Now if you have number to be divided by 19 and you want to get an accurate answer to few decimal places then no need to panic you can do orally till infinite decimal place. Its looking interesting now, I guess!

Method:

1) Reduce the numerator such that it is less then 19.
eg. If you want 20/19 then reduced for is 1 1/19.
2) Now next number to 19 is 20 so wee simply divide the number by 2.(why ? explained ahead) 19202
3) So know we need to find 1/19.
4) We divide 1/2 = 0, remainder 1.
5) Append remainder (1) to previous partial quotient (0), number becomes 10.
6) We divide this remainder by 2. i.e. 10/2 =5, remainder = 0
7) Now we append reminder (0) to previous partial quotient (5), number becomes 05.
We divide in similar fashion and continue till 18 places then the digits will recur.
(But not necessary for other xx…9)

See following figure for better understanding:

Extension:

1) If you have any number ending with nine take the next number.
For eg., 49505
2) Now follow the above procedure to compute the answer taking 5 as divisor in this case.

If number is 99 then division is by 10. 9910010
If number is 9 then division is by 1. 9101
i.e if you have 3/9 answer is 0.33333…..

A Short Note for Readers:

The techniques shown here are taken from various articles and books written over ages. There are few additions and simplifications to existing techniques. The readers to benefit from the techniques need to use them smartly and should practice them on regular basis.

By Ankit Mundra

“OxyGyan Reader”

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