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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 227 · 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. 1.40092 ÷ 111 =
  2. 2.94212 ÷ 121 =
  3. 3.17318 ÷ 121 =
  4. 4.8638 ÷ 13 =
  5. 5.705 ÷ 13 =
  6. 6.9678 ÷ 13 =
  7. 7.7349 ÷ 13 =
  8. 8.43419 ÷ 112 =
  9. 9.97980 ÷ 121 =
  10. 10.9494 ÷ 13 =
  11. 11.32107 ÷ 102 =
  12. 12.10374 ÷ 103 =
  13. 13.68861 ÷ 121 =
  14. 14.1731 ÷ 13 =
  15. 15.46269 ÷ 112 =
  16. 16.42857 ÷ 121 =
  17. 17.21049 ÷ 102 =
  18. 18.1010 ÷ 11 =
  19. 19.70573 ÷ 102 =
  20. 20.5484 ÷ 13 =
  21. 21.18722 ÷ 103 =
  22. 22.7293 ÷ 13 =
  23. 23.9022 ÷ 12 =
  24. 24.99004 ÷ 121 =
  25. 25.1904 ÷ 11 =
  26. 26.85227 ÷ 111 =
  27. 27.95515 ÷ 121 =
  28. 28.9694 ÷ 112 =
  29. 29.40946 ÷ 112 =
  30. 30.6156 ÷ 12 =
  31. 31.5816 ÷ 12 =
  32. 32.4892 ÷ 11 =
  33. 33.44291 ÷ 121 =
  34. 34.9139 ÷ 13 =
  35. 35.4648 ÷ 11 =
  36. 36.55920 ÷ 103 =
  37. 37.50197 ÷ 111 =
  38. 38.8373 ÷ 112 =
  39. 39.39328 ÷ 111 =
  40. 40.8497 ÷ 12 =

Answer key

  1. 361 rem 21
  2. 778 rem 74
  3. 143 rem 15
  4. 664 rem 6
  5. 54 rem 3
  6. 744 rem 6
  7. 565 rem 4
  8. 387 rem 75
  9. 809 rem 91
  10. 730 rem 4
  11. 314 rem 79
  12. 100 rem 74
  13. 569 rem 12
  14. 133 rem 2
  15. 413 rem 13
  16. 354 rem 23
  17. 206 rem 37
  18. 91 rem 9
  19. 691 rem 91
  20. 421 rem 11
  21. 181 rem 79
  22. 561 rem 0
  23. 751 rem 10
  24. 818 rem 26
  25. 173 rem 1
  26. 767 rem 90
  27. 789 rem 46
  28. 86 rem 62
  29. 365 rem 66
  30. 513 rem 0
  31. 484 rem 8
  32. 444 rem 8
  33. 366 rem 5
  34. 703 rem 0
  35. 422 rem 6
  36. 542 rem 94
  37. 452 rem 25
  38. 74 rem 85
  39. 354 rem 34
  40. 708 rem 1

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