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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 509 · 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. 1.90156 ÷ 112 =
  2. 2.9382 ÷ 11 =
  3. 3.1945 ÷ 13 =
  4. 4.70705 ÷ 111 =
  5. 5.67738 ÷ 121 =
  6. 6.51384 ÷ 112 =
  7. 7.72653 ÷ 103 =
  8. 8.1102 ÷ 11 =
  9. 9.6011 ÷ 111 =
  10. 10.90552 ÷ 103 =
  11. 11.7400 ÷ 121 =
  12. 12.6472 ÷ 12 =
  13. 13.46225 ÷ 111 =
  14. 14.5304 ÷ 112 =
  15. 15.5908 ÷ 12 =
  16. 16.87095 ÷ 121 =
  17. 17.45469 ÷ 112 =
  18. 18.68602 ÷ 111 =
  19. 19.71391 ÷ 111 =
  20. 20.7161 ÷ 112 =
  21. 21.58324 ÷ 111 =
  22. 22.8306 ÷ 11 =
  23. 23.7276 ÷ 11 =
  24. 24.2455 ÷ 12 =
  25. 25.5863 ÷ 112 =
  26. 26.31300 ÷ 121 =
  27. 27.44027 ÷ 102 =
  28. 28.68376 ÷ 102 =
  29. 29.4604 ÷ 102 =
  30. 30.2716 ÷ 12 =
  31. 31.26362 ÷ 112 =
  32. 32.30901 ÷ 102 =
  33. 33.6049 ÷ 13 =
  34. 34.71922 ÷ 103 =
  35. 35.21083 ÷ 112 =
  36. 36.12100 ÷ 112 =
  37. 37.1793 ÷ 11 =
  38. 38.39991 ÷ 102 =
  39. 39.72213 ÷ 102 =
  40. 40.89199 ÷ 121 =

Answer key

  1. 804 rem 108
  2. 852 rem 10
  3. 149 rem 8
  4. 636 rem 109
  5. 559 rem 99
  6. 458 rem 88
  7. 705 rem 38
  8. 100 rem 2
  9. 54 rem 17
  10. 879 rem 15
  11. 61 rem 19
  12. 539 rem 4
  13. 416 rem 49
  14. 47 rem 40
  15. 492 rem 4
  16. 719 rem 96
  17. 405 rem 109
  18. 618 rem 4
  19. 643 rem 18
  20. 63 rem 105
  21. 525 rem 49
  22. 755 rem 1
  23. 661 rem 5
  24. 204 rem 7
  25. 52 rem 39
  26. 258 rem 82
  27. 431 rem 65
  28. 670 rem 36
  29. 45 rem 14
  30. 226 rem 4
  31. 235 rem 42
  32. 302 rem 97
  33. 465 rem 4
  34. 698 rem 28
  35. 188 rem 27
  36. 108 rem 4
  37. 163 rem 0
  38. 392 rem 7
  39. 707 rem 99
  40. 737 rem 22

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