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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 131 · 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. 1.20632 ÷ 121 =
  2. 2.99397 ÷ 112 =
  3. 3.60175 ÷ 111 =
  4. 4.3542 ÷ 13 =
  5. 5.56714 ÷ 111 =
  6. 6.7059 ÷ 13 =
  7. 7.88544 ÷ 112 =
  8. 8.3372 ÷ 12 =
  9. 9.10550 ÷ 111 =
  10. 10.7907 ÷ 12 =
  11. 11.2147 ÷ 11 =
  12. 12.79145 ÷ 102 =
  13. 13.69584 ÷ 103 =
  14. 14.95618 ÷ 102 =
  15. 15.8557 ÷ 13 =
  16. 16.67377 ÷ 103 =
  17. 17.53552 ÷ 102 =
  18. 18.1855 ÷ 11 =
  19. 19.45266 ÷ 102 =
  20. 20.2174 ÷ 11 =
  21. 21.4222 ÷ 102 =
  22. 22.6826 ÷ 12 =
  23. 23.4458 ÷ 13 =
  24. 24.8160 ÷ 11 =
  25. 25.6370 ÷ 13 =
  26. 26.69994 ÷ 102 =
  27. 27.9763 ÷ 12 =
  28. 28.33011 ÷ 121 =
  29. 29.82823 ÷ 102 =
  30. 30.9942 ÷ 11 =
  31. 31.2188 ÷ 13 =
  32. 32.69626 ÷ 103 =
  33. 33.53396 ÷ 102 =
  34. 34.9699 ÷ 11 =
  35. 35.2935 ÷ 102 =
  36. 36.77560 ÷ 102 =
  37. 37.96079 ÷ 111 =
  38. 38.5856 ÷ 13 =
  39. 39.777 ÷ 11 =
  40. 40.9825 ÷ 12 =

Answer key

  1. 170 rem 62
  2. 887 rem 53
  3. 542 rem 13
  4. 272 rem 6
  5. 510 rem 104
  6. 543 rem 0
  7. 790 rem 64
  8. 281 rem 0
  9. 95 rem 5
  10. 658 rem 11
  11. 195 rem 2
  12. 775 rem 95
  13. 675 rem 59
  14. 937 rem 44
  15. 658 rem 3
  16. 654 rem 15
  17. 525 rem 2
  18. 168 rem 7
  19. 443 rem 80
  20. 197 rem 7
  21. 41 rem 40
  22. 568 rem 10
  23. 342 rem 12
  24. 741 rem 9
  25. 490 rem 0
  26. 686 rem 22
  27. 813 rem 7
  28. 272 rem 99
  29. 811 rem 101
  30. 903 rem 9
  31. 168 rem 4
  32. 675 rem 101
  33. 523 rem 50
  34. 881 rem 8
  35. 28 rem 79
  36. 760 rem 40
  37. 865 rem 64
  38. 450 rem 6
  39. 70 rem 7
  40. 818 rem 9

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