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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 529 · 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. 1.5220 ÷ 12 =
  2. 2.342 ÷ 12 =
  3. 3.8352 ÷ 12 =
  4. 4.2912 ÷ 112 =
  5. 5.64170 ÷ 103 =
  6. 6.8340 ÷ 12 =
  7. 7.8767 ÷ 12 =
  8. 8.9215 ÷ 13 =
  9. 9.69313 ÷ 103 =
  10. 10.3439 ÷ 13 =
  11. 11.14365 ÷ 103 =
  12. 12.51147 ÷ 121 =
  13. 13.68258 ÷ 111 =
  14. 14.4954 ÷ 11 =
  15. 15.34183 ÷ 103 =
  16. 16.78666 ÷ 102 =
  17. 17.71873 ÷ 102 =
  18. 18.15332 ÷ 121 =
  19. 19.4530 ÷ 13 =
  20. 20.5144 ÷ 13 =
  21. 21.66966 ÷ 111 =
  22. 22.3806 ÷ 11 =
  23. 23.3296 ÷ 13 =
  24. 24.35030 ÷ 111 =
  25. 25.994 ÷ 13 =
  26. 26.77613 ÷ 121 =
  27. 27.59728 ÷ 102 =
  28. 28.5170 ÷ 11 =
  29. 29.3538 ÷ 11 =
  30. 30.94139 ÷ 112 =
  31. 31.51689 ÷ 112 =
  32. 32.26313 ÷ 111 =
  33. 33.8166 ÷ 13 =
  34. 34.83937 ÷ 121 =
  35. 35.1969 ÷ 12 =
  36. 36.4930 ÷ 13 =
  37. 37.9223 ÷ 102 =
  38. 38.94920 ÷ 112 =
  39. 39.65852 ÷ 112 =
  40. 40.65895 ÷ 111 =

Answer key

  1. 435 rem 0
  2. 28 rem 6
  3. 696 rem 0
  4. 26 rem 0
  5. 623 rem 1
  6. 695 rem 0
  7. 730 rem 7
  8. 708 rem 11
  9. 672 rem 97
  10. 264 rem 7
  11. 139 rem 48
  12. 422 rem 85
  13. 614 rem 104
  14. 450 rem 4
  15. 331 rem 90
  16. 771 rem 24
  17. 704 rem 65
  18. 126 rem 86
  19. 348 rem 6
  20. 395 rem 9
  21. 603 rem 33
  22. 346 rem 0
  23. 253 rem 7
  24. 315 rem 65
  25. 76 rem 6
  26. 641 rem 52
  27. 585 rem 58
  28. 470 rem 0
  29. 321 rem 7
  30. 840 rem 59
  31. 461 rem 57
  32. 237 rem 6
  33. 628 rem 2
  34. 693 rem 84
  35. 164 rem 1
  36. 379 rem 3
  37. 90 rem 43
  38. 847 rem 56
  39. 587 rem 108
  40. 593 rem 72

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