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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 674 · 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. 1.27680 ÷ 111 =
  2. 2.26102 ÷ 112 =
  3. 3.1772 ÷ 12 =
  4. 4.8765 ÷ 112 =
  5. 5.31717 ÷ 121 =
  6. 6.20020 ÷ 111 =
  7. 7.86042 ÷ 111 =
  8. 8.7158 ÷ 11 =
  9. 9.9173 ÷ 111 =
  10. 10.34951 ÷ 121 =
  11. 11.46933 ÷ 121 =
  12. 12.4304 ÷ 121 =
  13. 13.89197 ÷ 121 =
  14. 14.4655 ÷ 11 =
  15. 15.90775 ÷ 112 =
  16. 16.17183 ÷ 103 =
  17. 17.2263 ÷ 12 =
  18. 18.47924 ÷ 102 =
  19. 19.96529 ÷ 102 =
  20. 20.85034 ÷ 103 =
  21. 21.5849 ÷ 13 =
  22. 22.51529 ÷ 103 =
  23. 23.8624 ÷ 121 =
  24. 24.90868 ÷ 103 =
  25. 25.320 ÷ 11 =
  26. 26.4851 ÷ 121 =
  27. 27.62573 ÷ 112 =
  28. 28.4021 ÷ 12 =
  29. 29.26269 ÷ 121 =
  30. 30.82589 ÷ 112 =
  31. 31.34931 ÷ 111 =
  32. 32.13772 ÷ 111 =
  33. 33.6165 ÷ 11 =
  34. 34.8892 ÷ 13 =
  35. 35.5563 ÷ 111 =
  36. 36.8229 ÷ 13 =
  37. 37.3078 ÷ 11 =
  38. 38.3322 ÷ 12 =
  39. 39.8395 ÷ 13 =
  40. 40.2105 ÷ 13 =

Answer key

  1. 249 rem 41
  2. 233 rem 6
  3. 147 rem 8
  4. 78 rem 29
  5. 262 rem 15
  6. 180 rem 40
  7. 775 rem 17
  8. 650 rem 8
  9. 82 rem 71
  10. 288 rem 103
  11. 387 rem 106
  12. 35 rem 69
  13. 737 rem 20
  14. 423 rem 2
  15. 810 rem 55
  16. 166 rem 85
  17. 188 rem 7
  18. 469 rem 86
  19. 946 rem 37
  20. 825 rem 59
  21. 449 rem 12
  22. 500 rem 29
  23. 71 rem 33
  24. 882 rem 22
  25. 29 rem 1
  26. 40 rem 11
  27. 558 rem 77
  28. 335 rem 1
  29. 217 rem 12
  30. 737 rem 45
  31. 314 rem 77
  32. 124 rem 8
  33. 560 rem 5
  34. 684 rem 0
  35. 50 rem 13
  36. 633 rem 0
  37. 279 rem 9
  38. 276 rem 10
  39. 645 rem 10
  40. 161 rem 12

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