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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 811 · 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. 1.45407 ÷ 111 =
  2. 2.2207 ÷ 13 =
  3. 3.87315 ÷ 102 =
  4. 4.7098 ÷ 12 =
  5. 5.71397 ÷ 102 =
  6. 6.32522 ÷ 102 =
  7. 7.55495 ÷ 121 =
  8. 8.98701 ÷ 121 =
  9. 9.78045 ÷ 111 =
  10. 10.50115 ÷ 111 =
  11. 11.16105 ÷ 111 =
  12. 12.8339 ÷ 11 =
  13. 13.8468 ÷ 12 =
  14. 14.61925 ÷ 121 =
  15. 15.9155 ÷ 13 =
  16. 16.23349 ÷ 103 =
  17. 17.7444 ÷ 11 =
  18. 18.67350 ÷ 103 =
  19. 19.8751 ÷ 11 =
  20. 20.8362 ÷ 11 =
  21. 21.85713 ÷ 103 =
  22. 22.5864 ÷ 12 =
  23. 23.30207 ÷ 102 =
  24. 24.2651 ÷ 12 =
  25. 25.2263 ÷ 103 =
  26. 26.4650 ÷ 13 =
  27. 27.20320 ÷ 121 =
  28. 28.29458 ÷ 121 =
  29. 29.1074 ÷ 12 =
  30. 30.53314 ÷ 121 =
  31. 31.86026 ÷ 103 =
  32. 32.79104 ÷ 121 =
  33. 33.7182 ÷ 11 =
  34. 34.37121 ÷ 111 =
  35. 35.5677 ÷ 12 =
  36. 36.9076 ÷ 111 =
  37. 37.6108 ÷ 13 =
  38. 38.74119 ÷ 121 =
  39. 39.89368 ÷ 112 =
  40. 40.74884 ÷ 111 =

Answer key

  1. 409 rem 8
  2. 169 rem 10
  3. 856 rem 3
  4. 591 rem 6
  5. 699 rem 99
  6. 318 rem 86
  7. 458 rem 77
  8. 815 rem 86
  9. 703 rem 12
  10. 451 rem 54
  11. 145 rem 10
  12. 758 rem 1
  13. 705 rem 8
  14. 511 rem 94
  15. 704 rem 3
  16. 226 rem 71
  17. 676 rem 8
  18. 653 rem 91
  19. 795 rem 6
  20. 760 rem 2
  21. 832 rem 17
  22. 488 rem 8
  23. 296 rem 15
  24. 220 rem 11
  25. 21 rem 100
  26. 357 rem 9
  27. 167 rem 113
  28. 243 rem 55
  29. 89 rem 6
  30. 440 rem 74
  31. 835 rem 21
  32. 653 rem 91
  33. 652 rem 10
  34. 334 rem 47
  35. 473 rem 1
  36. 81 rem 85
  37. 469 rem 11
  38. 612 rem 67
  39. 797 rem 104
  40. 674 rem 70

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