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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 871 · 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. 1.71410 ÷ 112 =
  2. 2.50282 ÷ 102 =
  3. 3.38611 ÷ 111 =
  4. 4.59859 ÷ 111 =
  5. 5.3037 ÷ 11 =
  6. 6.973 ÷ 12 =
  7. 7.69172 ÷ 111 =
  8. 8.2093 ÷ 11 =
  9. 9.52037 ÷ 111 =
  10. 10.78012 ÷ 112 =
  11. 11.6506 ÷ 12 =
  12. 12.10851 ÷ 102 =
  13. 13.7455 ÷ 13 =
  14. 14.3946 ÷ 12 =
  15. 15.5762 ÷ 13 =
  16. 16.16008 ÷ 111 =
  17. 17.72667 ÷ 121 =
  18. 18.4028 ÷ 13 =
  19. 19.6687 ÷ 12 =
  20. 20.96400 ÷ 111 =
  21. 21.2321 ÷ 11 =
  22. 22.214 ÷ 12 =
  23. 23.44537 ÷ 102 =
  24. 24.89647 ÷ 102 =
  25. 25.36004 ÷ 103 =
  26. 26.18582 ÷ 121 =
  27. 27.45417 ÷ 112 =
  28. 28.85013 ÷ 111 =
  29. 29.2093 ÷ 13 =
  30. 30.92253 ÷ 102 =
  31. 31.398 ÷ 13 =
  32. 32.9111 ÷ 111 =
  33. 33.51385 ÷ 112 =
  34. 34.13026 ÷ 111 =
  35. 35.19326 ÷ 112 =
  36. 36.24510 ÷ 102 =
  37. 37.1644 ÷ 11 =
  38. 38.11746 ÷ 102 =
  39. 39.3168 ÷ 11 =
  40. 40.2337 ÷ 102 =

Answer key

  1. 637 rem 66
  2. 492 rem 98
  3. 347 rem 94
  4. 539 rem 30
  5. 276 rem 1
  6. 81 rem 1
  7. 623 rem 19
  8. 190 rem 3
  9. 468 rem 89
  10. 696 rem 60
  11. 542 rem 2
  12. 106 rem 39
  13. 573 rem 6
  14. 328 rem 10
  15. 443 rem 3
  16. 144 rem 24
  17. 600 rem 67
  18. 309 rem 11
  19. 557 rem 3
  20. 868 rem 52
  21. 211 rem 0
  22. 17 rem 10
  23. 436 rem 65
  24. 878 rem 91
  25. 349 rem 57
  26. 153 rem 69
  27. 405 rem 57
  28. 765 rem 98
  29. 161 rem 0
  30. 904 rem 45
  31. 30 rem 8
  32. 82 rem 9
  33. 458 rem 89
  34. 117 rem 39
  35. 172 rem 62
  36. 240 rem 30
  37. 149 rem 5
  38. 115 rem 16
  39. 288 rem 0
  40. 22 rem 93

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