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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 818 · 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. 1.1398 ÷ 11 =
  2. 2.7335 ÷ 12 =
  3. 3.59596 ÷ 112 =
  4. 4.6647 ÷ 11 =
  5. 5.57353 ÷ 112 =
  6. 6.89013 ÷ 103 =
  7. 7.59345 ÷ 102 =
  8. 8.68896 ÷ 112 =
  9. 9.9477 ÷ 11 =
  10. 10.9490 ÷ 13 =
  11. 11.89463 ÷ 111 =
  12. 12.56823 ÷ 112 =
  13. 13.7444 ÷ 11 =
  14. 14.95303 ÷ 112 =
  15. 15.40919 ÷ 111 =
  16. 16.1766 ÷ 11 =
  17. 17.7764 ÷ 103 =
  18. 18.95829 ÷ 102 =
  19. 19.5484 ÷ 111 =
  20. 20.88122 ÷ 112 =
  21. 21.35504 ÷ 103 =
  22. 22.31062 ÷ 102 =
  23. 23.92207 ÷ 103 =
  24. 24.2815 ÷ 11 =
  25. 25.2847 ÷ 11 =
  26. 26.3489 ÷ 13 =
  27. 27.6437 ÷ 102 =
  28. 28.3147 ÷ 13 =
  29. 29.2266 ÷ 12 =
  30. 30.2574 ÷ 13 =
  31. 31.4166 ÷ 12 =
  32. 32.38650 ÷ 102 =
  33. 33.44578 ÷ 111 =
  34. 34.4752 ÷ 12 =
  35. 35.2898 ÷ 11 =
  36. 36.9876 ÷ 12 =
  37. 37.20943 ÷ 112 =
  38. 38.60715 ÷ 112 =
  39. 39.8893 ÷ 11 =
  40. 40.13341 ÷ 102 =

Answer key

  1. 127 rem 1
  2. 611 rem 3
  3. 532 rem 12
  4. 604 rem 3
  5. 512 rem 9
  6. 864 rem 21
  7. 581 rem 83
  8. 615 rem 16
  9. 861 rem 6
  10. 730 rem 0
  11. 805 rem 108
  12. 507 rem 39
  13. 676 rem 8
  14. 850 rem 103
  15. 368 rem 71
  16. 160 rem 6
  17. 75 rem 39
  18. 939 rem 51
  19. 49 rem 45
  20. 786 rem 90
  21. 344 rem 72
  22. 304 rem 54
  23. 895 rem 22
  24. 255 rem 10
  25. 258 rem 9
  26. 268 rem 5
  27. 63 rem 11
  28. 242 rem 1
  29. 188 rem 10
  30. 198 rem 0
  31. 347 rem 2
  32. 378 rem 94
  33. 401 rem 67
  34. 396 rem 0
  35. 263 rem 5
  36. 823 rem 0
  37. 186 rem 111
  38. 542 rem 11
  39. 808 rem 5
  40. 130 rem 81

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