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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 794 · 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. 1.81030 ÷ 112 =
  2. 2.1728 ÷ 12 =
  3. 3.55048 ÷ 121 =
  4. 4.5674 ÷ 12 =
  5. 5.54848 ÷ 103 =
  6. 6.2257 ÷ 13 =
  7. 7.12144 ÷ 111 =
  8. 8.78689 ÷ 112 =
  9. 9.81404 ÷ 102 =
  10. 10.7326 ÷ 13 =
  11. 11.7336 ÷ 11 =
  12. 12.1736 ÷ 12 =
  13. 13.47718 ÷ 111 =
  14. 14.70732 ÷ 103 =
  15. 15.70107 ÷ 103 =
  16. 16.8488 ÷ 112 =
  17. 17.12502 ÷ 112 =
  18. 18.74324 ÷ 102 =
  19. 19.39661 ÷ 111 =
  20. 20.7888 ÷ 13 =
  21. 21.13430 ÷ 103 =
  22. 22.30059 ÷ 112 =
  23. 23.23624 ÷ 112 =
  24. 24.4105 ÷ 12 =
  25. 25.79527 ÷ 102 =
  26. 26.49921 ÷ 111 =
  27. 27.17862 ÷ 111 =
  28. 28.362 ÷ 11 =
  29. 29.62192 ÷ 111 =
  30. 30.7867 ÷ 12 =
  31. 31.2663 ÷ 12 =
  32. 32.37013 ÷ 121 =
  33. 33.2229 ÷ 13 =
  34. 34.854 ÷ 13 =
  35. 35.6365 ÷ 13 =
  36. 36.2916 ÷ 11 =
  37. 37.3670 ÷ 12 =
  38. 38.79911 ÷ 111 =
  39. 39.61835 ÷ 103 =
  40. 40.53968 ÷ 121 =

Answer key

  1. 723 rem 54
  2. 144 rem 0
  3. 454 rem 114
  4. 472 rem 10
  5. 532 rem 52
  6. 173 rem 8
  7. 109 rem 45
  8. 702 rem 65
  9. 798 rem 8
  10. 563 rem 7
  11. 666 rem 10
  12. 144 rem 8
  13. 429 rem 99
  14. 686 rem 74
  15. 680 rem 67
  16. 75 rem 88
  17. 111 rem 70
  18. 728 rem 68
  19. 357 rem 34
  20. 606 rem 10
  21. 130 rem 40
  22. 268 rem 43
  23. 210 rem 104
  24. 342 rem 1
  25. 779 rem 69
  26. 449 rem 82
  27. 160 rem 102
  28. 32 rem 10
  29. 560 rem 32
  30. 655 rem 7
  31. 221 rem 11
  32. 305 rem 108
  33. 171 rem 6
  34. 65 rem 9
  35. 489 rem 8
  36. 265 rem 1
  37. 305 rem 10
  38. 719 rem 102
  39. 600 rem 35
  40. 446 rem 2

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