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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 178 · 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. 1.2555 ÷ 12 =
  2. 2.51649 ÷ 102 =
  3. 3.99777 ÷ 103 =
  4. 4.6969 ÷ 11 =
  5. 5.83195 ÷ 111 =
  6. 6.6315 ÷ 12 =
  7. 7.2750 ÷ 112 =
  8. 8.3778 ÷ 11 =
  9. 9.9420 ÷ 13 =
  10. 10.69739 ÷ 112 =
  11. 11.9648 ÷ 12 =
  12. 12.9094 ÷ 13 =
  13. 13.4739 ÷ 121 =
  14. 14.5701 ÷ 13 =
  15. 15.94072 ÷ 111 =
  16. 16.75181 ÷ 111 =
  17. 17.6379 ÷ 13 =
  18. 18.35204 ÷ 121 =
  19. 19.46582 ÷ 111 =
  20. 20.1386 ÷ 12 =
  21. 21.85010 ÷ 121 =
  22. 22.92485 ÷ 121 =
  23. 23.6441 ÷ 12 =
  24. 24.1996 ÷ 12 =
  25. 25.54755 ÷ 111 =
  26. 26.6967 ÷ 13 =
  27. 27.1079 ÷ 13 =
  28. 28.80723 ÷ 111 =
  29. 29.6233 ÷ 13 =
  30. 30.480 ÷ 13 =
  31. 31.9966 ÷ 12 =
  32. 32.3555 ÷ 112 =
  33. 33.5146 ÷ 11 =
  34. 34.9133 ÷ 102 =
  35. 35.92586 ÷ 121 =
  36. 36.8723 ÷ 13 =
  37. 37.90931 ÷ 121 =
  38. 38.87829 ÷ 103 =
  39. 39.9922 ÷ 11 =
  40. 40.1103 ÷ 112 =

Answer key

  1. 212 rem 11
  2. 506 rem 37
  3. 968 rem 73
  4. 633 rem 6
  5. 749 rem 56
  6. 526 rem 3
  7. 24 rem 62
  8. 343 rem 5
  9. 724 rem 8
  10. 622 rem 75
  11. 804 rem 0
  12. 699 rem 7
  13. 39 rem 20
  14. 438 rem 7
  15. 847 rem 55
  16. 677 rem 34
  17. 490 rem 9
  18. 290 rem 114
  19. 419 rem 73
  20. 115 rem 6
  21. 702 rem 68
  22. 764 rem 41
  23. 536 rem 9
  24. 166 rem 4
  25. 493 rem 32
  26. 535 rem 12
  27. 83 rem 0
  28. 727 rem 26
  29. 479 rem 6
  30. 36 rem 12
  31. 830 rem 6
  32. 31 rem 83
  33. 467 rem 9
  34. 89 rem 55
  35. 765 rem 21
  36. 671 rem 0
  37. 751 rem 60
  38. 852 rem 73
  39. 902 rem 0
  40. 9 rem 95

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