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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 686 · 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. 1.8175 ÷ 12 =
  2. 2.61420 ÷ 103 =
  3. 3.93528 ÷ 103 =
  4. 4.96477 ÷ 102 =
  5. 5.83448 ÷ 102 =
  6. 6.18451 ÷ 111 =
  7. 7.4860 ÷ 13 =
  8. 8.1514 ÷ 11 =
  9. 9.9106 ÷ 11 =
  10. 10.3611 ÷ 102 =
  11. 11.74191 ÷ 121 =
  12. 12.34129 ÷ 103 =
  13. 13.21597 ÷ 112 =
  14. 14.25771 ÷ 111 =
  15. 15.1770 ÷ 11 =
  16. 16.2307 ÷ 11 =
  17. 17.18749 ÷ 103 =
  18. 18.9601 ÷ 111 =
  19. 19.77380 ÷ 103 =
  20. 20.85092 ÷ 111 =
  21. 21.563 ÷ 12 =
  22. 22.7624 ÷ 12 =
  23. 23.8576 ÷ 111 =
  24. 24.6110 ÷ 11 =
  25. 25.8989 ÷ 12 =
  26. 26.2135 ÷ 11 =
  27. 27.3915 ÷ 11 =
  28. 28.9506 ÷ 12 =
  29. 29.7020 ÷ 11 =
  30. 30.73375 ÷ 102 =
  31. 31.61904 ÷ 112 =
  32. 32.1997 ÷ 12 =
  33. 33.12286 ÷ 111 =
  34. 34.13670 ÷ 103 =
  35. 35.71318 ÷ 121 =
  36. 36.4081 ÷ 11 =
  37. 37.17223 ÷ 121 =
  38. 38.7916 ÷ 12 =
  39. 39.9324 ÷ 11 =
  40. 40.73945 ÷ 112 =

Answer key

  1. 681 rem 3
  2. 596 rem 32
  3. 908 rem 4
  4. 945 rem 87
  5. 818 rem 12
  6. 166 rem 25
  7. 373 rem 11
  8. 137 rem 7
  9. 827 rem 9
  10. 35 rem 41
  11. 613 rem 18
  12. 331 rem 36
  13. 192 rem 93
  14. 232 rem 19
  15. 160 rem 10
  16. 209 rem 8
  17. 182 rem 3
  18. 86 rem 55
  19. 751 rem 27
  20. 766 rem 66
  21. 46 rem 11
  22. 635 rem 4
  23. 77 rem 29
  24. 555 rem 5
  25. 749 rem 1
  26. 194 rem 1
  27. 355 rem 10
  28. 792 rem 2
  29. 638 rem 2
  30. 719 rem 37
  31. 552 rem 80
  32. 166 rem 5
  33. 110 rem 76
  34. 132 rem 74
  35. 589 rem 49
  36. 371 rem 0
  37. 142 rem 41
  38. 659 rem 8
  39. 847 rem 7
  40. 660 rem 25

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