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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 357 · 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. 1.1284 ÷ 12 =
  2. 2.20553 ÷ 112 =
  3. 3.25342 ÷ 121 =
  4. 4.1077 ÷ 13 =
  5. 5.4566 ÷ 11 =
  6. 6.44741 ÷ 121 =
  7. 7.8163 ÷ 12 =
  8. 8.6415 ÷ 11 =
  9. 9.11606 ÷ 111 =
  10. 10.85686 ÷ 121 =
  11. 11.51586 ÷ 102 =
  12. 12.2076 ÷ 12 =
  13. 13.6433 ÷ 12 =
  14. 14.49375 ÷ 102 =
  15. 15.97320 ÷ 112 =
  16. 16.9826 ÷ 11 =
  17. 17.50104 ÷ 111 =
  18. 18.75047 ÷ 112 =
  19. 19.5349 ÷ 13 =
  20. 20.7748 ÷ 121 =
  21. 21.80161 ÷ 111 =
  22. 22.33060 ÷ 111 =
  23. 23.46917 ÷ 111 =
  24. 24.17960 ÷ 111 =
  25. 25.8869 ÷ 12 =
  26. 26.7485 ÷ 11 =
  27. 27.99264 ÷ 112 =
  28. 28.29121 ÷ 111 =
  29. 29.63177 ÷ 121 =
  30. 30.46388 ÷ 102 =
  31. 31.5263 ÷ 12 =
  32. 32.10376 ÷ 112 =
  33. 33.86968 ÷ 102 =
  34. 34.98495 ÷ 112 =
  35. 35.1238 ÷ 11 =
  36. 36.1883 ÷ 13 =
  37. 37.1164 ÷ 13 =
  38. 38.33174 ÷ 103 =
  39. 39.9916 ÷ 111 =
  40. 40.9063 ÷ 12 =

Answer key

  1. 107 rem 0
  2. 183 rem 57
  3. 209 rem 53
  4. 82 rem 11
  5. 415 rem 1
  6. 369 rem 92
  7. 680 rem 3
  8. 583 rem 2
  9. 104 rem 62
  10. 708 rem 18
  11. 505 rem 76
  12. 173 rem 0
  13. 536 rem 1
  14. 484 rem 7
  15. 868 rem 104
  16. 893 rem 3
  17. 451 rem 43
  18. 670 rem 7
  19. 411 rem 6
  20. 64 rem 4
  21. 722 rem 19
  22. 297 rem 93
  23. 422 rem 75
  24. 161 rem 89
  25. 739 rem 1
  26. 680 rem 5
  27. 886 rem 32
  28. 262 rem 39
  29. 522 rem 15
  30. 454 rem 80
  31. 438 rem 7
  32. 92 rem 72
  33. 852 rem 64
  34. 879 rem 47
  35. 112 rem 6
  36. 144 rem 11
  37. 89 rem 7
  38. 322 rem 8
  39. 89 rem 37
  40. 755 rem 3

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