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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 156 · 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. 1.13534 ÷ 111 =
  2. 2.8139 ÷ 11 =
  3. 3.3723 ÷ 11 =
  4. 4.4520 ÷ 12 =
  5. 5.2707 ÷ 13 =
  6. 6.9697 ÷ 11 =
  7. 7.5357 ÷ 11 =
  8. 8.7610 ÷ 11 =
  9. 9.97560 ÷ 111 =
  10. 10.9060 ÷ 12 =
  11. 11.4939 ÷ 121 =
  12. 12.91907 ÷ 112 =
  13. 13.22766 ÷ 121 =
  14. 14.3440 ÷ 11 =
  15. 15.73219 ÷ 121 =
  16. 16.8685 ÷ 12 =
  17. 17.24967 ÷ 112 =
  18. 18.88506 ÷ 111 =
  19. 19.16301 ÷ 103 =
  20. 20.18922 ÷ 112 =
  21. 21.243 ÷ 12 =
  22. 22.60148 ÷ 111 =
  23. 23.23952 ÷ 102 =
  24. 24.58859 ÷ 103 =
  25. 25.3018 ÷ 13 =
  26. 26.9815 ÷ 13 =
  27. 27.68524 ÷ 121 =
  28. 28.4494 ÷ 12 =
  29. 29.1783 ÷ 11 =
  30. 30.44127 ÷ 102 =
  31. 31.79988 ÷ 102 =
  32. 32.81982 ÷ 102 =
  33. 33.1527 ÷ 11 =
  34. 34.407 ÷ 12 =
  35. 35.6681 ÷ 102 =
  36. 36.91728 ÷ 112 =
  37. 37.11821 ÷ 112 =
  38. 38.29114 ÷ 102 =
  39. 39.97643 ÷ 121 =
  40. 40.822 ÷ 11 =

Answer key

  1. 121 rem 103
  2. 739 rem 10
  3. 338 rem 5
  4. 376 rem 8
  5. 208 rem 3
  6. 881 rem 6
  7. 487 rem 0
  8. 691 rem 9
  9. 878 rem 102
  10. 755 rem 0
  11. 40 rem 99
  12. 820 rem 67
  13. 188 rem 18
  14. 312 rem 8
  15. 605 rem 14
  16. 723 rem 9
  17. 222 rem 103
  18. 797 rem 39
  19. 158 rem 27
  20. 168 rem 106
  21. 20 rem 3
  22. 541 rem 97
  23. 234 rem 84
  24. 571 rem 46
  25. 232 rem 2
  26. 755 rem 0
  27. 566 rem 38
  28. 374 rem 6
  29. 162 rem 1
  30. 432 rem 63
  31. 784 rem 20
  32. 803 rem 76
  33. 138 rem 9
  34. 33 rem 11
  35. 65 rem 51
  36. 819 rem 0
  37. 105 rem 61
  38. 285 rem 44
  39. 806 rem 117
  40. 74 rem 8

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