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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 247 · 40 sums
TalentJR

The trick (Paravartya Yojayet): Write the extra over the base with minus signs: 12 → −2, 112 → −1 −2, 103 → 0 −3. Split off the last 1 (for 11–13) or 2 (for 102–121) digits as the remainder part. Bring down each column total, multiply by the transposed digits and add under the next columns. If the remainder is negative, take 1 from the quotient and add the divisor; if it is too big, divide it again.

NameDateTime takenScore ___ / 40
  1. 1.40698 ÷ 102 =
  2. 2.4982 ÷ 111 =
  3. 3.4195 ÷ 11 =
  4. 4.65657 ÷ 121 =
  5. 5.1235 ÷ 13 =
  6. 6.9208 ÷ 111 =
  7. 7.7804 ÷ 12 =
  8. 8.58033 ÷ 103 =
  9. 9.1469 ÷ 13 =
  10. 10.2579 ÷ 12 =
  11. 11.12269 ÷ 102 =
  12. 12.61577 ÷ 121 =
  13. 13.57476 ÷ 103 =
  14. 14.7356 ÷ 12 =
  15. 15.9552 ÷ 12 =
  16. 16.4257 ÷ 103 =
  17. 17.66228 ÷ 111 =
  18. 18.58023 ÷ 103 =
  19. 19.46663 ÷ 121 =
  20. 20.22895 ÷ 103 =
  21. 21.25114 ÷ 102 =
  22. 22.74662 ÷ 111 =
  23. 23.9435 ÷ 111 =
  24. 24.81179 ÷ 102 =
  25. 25.23261 ÷ 121 =
  26. 26.49778 ÷ 112 =
  27. 27.26737 ÷ 103 =
  28. 28.85553 ÷ 112 =
  29. 29.36411 ÷ 111 =
  30. 30.52324 ÷ 111 =
  31. 31.17032 ÷ 112 =
  32. 32.18977 ÷ 112 =
  33. 33.4378 ÷ 12 =
  34. 34.92952 ÷ 111 =
  35. 35.422 ÷ 12 =
  36. 36.42960 ÷ 103 =
  37. 37.99680 ÷ 121 =
  38. 38.8438 ÷ 11 =
  39. 39.18389 ÷ 102 =
  40. 40.82672 ÷ 112 =

Answer key

  1. 399 rem 0
  2. 44 rem 98
  3. 381 rem 4
  4. 542 rem 75
  5. 95 rem 0
  6. 82 rem 106
  7. 650 rem 4
  8. 563 rem 44
  9. 113 rem 0
  10. 214 rem 11
  11. 120 rem 29
  12. 508 rem 109
  13. 558 rem 2
  14. 613 rem 0
  15. 796 rem 0
  16. 41 rem 34
  17. 596 rem 72
  18. 563 rem 34
  19. 385 rem 78
  20. 222 rem 29
  21. 246 rem 22
  22. 672 rem 70
  23. 85 rem 0
  24. 795 rem 89
  25. 192 rem 29
  26. 444 rem 50
  27. 259 rem 60
  28. 763 rem 97
  29. 328 rem 3
  30. 471 rem 43
  31. 152 rem 8
  32. 169 rem 49
  33. 364 rem 10
  34. 837 rem 45
  35. 35 rem 2
  36. 417 rem 9
  37. 823 rem 97
  38. 767 rem 1
  39. 180 rem 29
  40. 738 rem 16

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