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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 504 · 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. 1.6408 ÷ 12 =
  2. 2.55979 ÷ 112 =
  3. 3.69556 ÷ 112 =
  4. 4.1679 ÷ 13 =
  5. 5.2305 ÷ 11 =
  6. 6.5608 ÷ 11 =
  7. 7.62336 ÷ 103 =
  8. 8.16038 ÷ 102 =
  9. 9.6992 ÷ 11 =
  10. 10.2169 ÷ 11 =
  11. 11.77355 ÷ 112 =
  12. 12.6820 ÷ 11 =
  13. 13.28423 ÷ 121 =
  14. 14.93708 ÷ 112 =
  15. 15.98141 ÷ 121 =
  16. 16.69238 ÷ 103 =
  17. 17.9423 ÷ 13 =
  18. 18.1264 ÷ 13 =
  19. 19.1962 ÷ 11 =
  20. 20.126 ÷ 11 =
  21. 21.16882 ÷ 103 =
  22. 22.85073 ÷ 103 =
  23. 23.51495 ÷ 112 =
  24. 24.58367 ÷ 112 =
  25. 25.22570 ÷ 103 =
  26. 26.1595 ÷ 13 =
  27. 27.66438 ÷ 112 =
  28. 28.3247 ÷ 112 =
  29. 29.26667 ÷ 121 =
  30. 30.7963 ÷ 102 =
  31. 31.27870 ÷ 111 =
  32. 32.47689 ÷ 112 =
  33. 33.7322 ÷ 11 =
  34. 34.52711 ÷ 103 =
  35. 35.5699 ÷ 112 =
  36. 36.9941 ÷ 111 =
  37. 37.619 ÷ 12 =
  38. 38.63986 ÷ 112 =
  39. 39.8957 ÷ 12 =
  40. 40.1802 ÷ 13 =

Answer key

  1. 534 rem 0
  2. 499 rem 91
  3. 621 rem 4
  4. 129 rem 2
  5. 209 rem 6
  6. 509 rem 9
  7. 605 rem 21
  8. 157 rem 24
  9. 635 rem 7
  10. 197 rem 2
  11. 690 rem 75
  12. 620 rem 0
  13. 234 rem 109
  14. 836 rem 76
  15. 811 rem 10
  16. 672 rem 22
  17. 724 rem 11
  18. 97 rem 3
  19. 178 rem 4
  20. 11 rem 5
  21. 163 rem 93
  22. 825 rem 98
  23. 459 rem 87
  24. 521 rem 15
  25. 219 rem 13
  26. 122 rem 9
  27. 593 rem 22
  28. 28 rem 111
  29. 220 rem 47
  30. 78 rem 7
  31. 251 rem 9
  32. 425 rem 89
  33. 665 rem 7
  34. 511 rem 78
  35. 50 rem 99
  36. 89 rem 62
  37. 51 rem 7
  38. 571 rem 34
  39. 746 rem 5
  40. 138 rem 8

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