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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 210 · 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. 1.23080 ÷ 121 =
  2. 2.713 ÷ 13 =
  3. 3.74095 ÷ 121 =
  4. 4.8257 ÷ 13 =
  5. 5.3991 ÷ 11 =
  6. 6.38595 ÷ 102 =
  7. 7.81154 ÷ 112 =
  8. 8.79935 ÷ 111 =
  9. 9.1367 ÷ 13 =
  10. 10.61454 ÷ 121 =
  11. 11.80994 ÷ 111 =
  12. 12.1953 ÷ 112 =
  13. 13.9825 ÷ 12 =
  14. 14.7968 ÷ 12 =
  15. 15.86849 ÷ 112 =
  16. 16.5209 ÷ 11 =
  17. 17.2653 ÷ 13 =
  18. 18.9162 ÷ 102 =
  19. 19.1212 ÷ 13 =
  20. 20.97605 ÷ 103 =
  21. 21.98028 ÷ 103 =
  22. 22.89297 ÷ 121 =
  23. 23.78771 ÷ 102 =
  24. 24.4887 ÷ 11 =
  25. 25.5840 ÷ 12 =
  26. 26.55656 ÷ 111 =
  27. 27.85772 ÷ 121 =
  28. 28.6124 ÷ 13 =
  29. 29.9873 ÷ 12 =
  30. 30.60930 ÷ 112 =
  31. 31.47604 ÷ 102 =
  32. 32.7938 ÷ 12 =
  33. 33.72305 ÷ 111 =
  34. 34.7570 ÷ 11 =
  35. 35.55248 ÷ 111 =
  36. 36.2074 ÷ 11 =
  37. 37.4604 ÷ 11 =
  38. 38.99596 ÷ 103 =
  39. 39.87672 ÷ 112 =
  40. 40.9031 ÷ 11 =

Answer key

  1. 190 rem 90
  2. 54 rem 11
  3. 612 rem 43
  4. 635 rem 2
  5. 362 rem 9
  6. 378 rem 39
  7. 724 rem 66
  8. 720 rem 15
  9. 105 rem 2
  10. 507 rem 107
  11. 729 rem 75
  12. 17 rem 49
  13. 818 rem 9
  14. 664 rem 0
  15. 775 rem 49
  16. 473 rem 6
  17. 204 rem 1
  18. 89 rem 84
  19. 93 rem 3
  20. 947 rem 64
  21. 951 rem 75
  22. 737 rem 120
  23. 772 rem 27
  24. 444 rem 3
  25. 486 rem 8
  26. 501 rem 45
  27. 708 rem 104
  28. 471 rem 1
  29. 822 rem 9
  30. 544 rem 2
  31. 466 rem 72
  32. 661 rem 6
  33. 651 rem 44
  34. 688 rem 2
  35. 497 rem 81
  36. 188 rem 6
  37. 418 rem 6
  38. 966 rem 98
  39. 782 rem 88
  40. 821 rem 0

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