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Division by DHVAJANAKA SUTRA |
Usual method of division is too
long. By Vedic techniques we can do all divisions in a single
line and we can find quotients and remainders immediately.
‘Dhavajanaka’ means top of flag. |
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For 36 % 21 |
| Step 1: |
Put down 2 in the divisor column and 1 on the top of a flag |
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1 |
31
6 |
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| 2 |
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1
: 15 |
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| Step 2: |
First divided3by 2 and get 1 as the quotient and 1 as the
remainder. |
| Step 3: |
Now prefer the remainder1up before 6of the dividend |
| Step 4: |
Deduct the product of the quotient 1 with the units place
of the divisor
1 (1 x 1 = 1) from 6. We get 16 – 1 = 15.
Take this as a remainder.
Hence Quotient = 1, remainder = 15 |
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For 327 % 25 |
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5 |
31
21 7 |
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| 2 |
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13
: 2 |
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| Step 1: |
Putdown2 in the divisor column and 5 us the top of the flag
of 2 |
| Step 2: |
Divide by 3 by 2 we get 1 as the remainder and 1 as the quotient. |
| Step 3: |
Now prefix the remainder 1 before up 2 of the dividend. Its
value is 12. |
| Step 4: |
Find the product of the quotient 1 and 5 of the divisor 5
(1 x 5 = 5) |
| Step 5: |
Divide 7 by 2. We get 12 – 5 = 7. |
| Step 6: |
Prefix the reminder 1 before 7. Its value is 17 |
| Step 7: |
Find the product of the quotient 3 with the units place
5 of the divisor.
We get 3 x 5 = 15. Deduct 15 from 17, we get 17 – 15
= 2.
Hence Quotient = 13, remainder = 2 |
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| References: |
Jagadguru Swami Shri Bharati Krishna Thirthaji (1965) “Vedic
Mathematics” Mothilal Banarasidas, New Delhi |
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T.S. Raju (1982) “Vedaganitam”, Usha Rani Publications,
Rayalam- 534 208, Andhra Pradesh |
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T.S. Raju (1990) “Teach yourself Arithmetic”,
Usha Rani Publications, Rayalam- 534 208, Andhra Pradesh |
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| Also see |
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