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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 699 · 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. 1.51175 ÷ 111 =
  2. 2.8032 ÷ 12 =
  3. 3.3091 ÷ 11 =
  4. 4.26483 ÷ 111 =
  5. 5.7467 ÷ 13 =
  6. 6.8865 ÷ 12 =
  7. 7.75828 ÷ 112 =
  8. 8.4193 ÷ 11 =
  9. 9.10668 ÷ 111 =
  10. 10.45482 ÷ 121 =
  11. 11.71881 ÷ 112 =
  12. 12.70188 ÷ 121 =
  13. 13.130 ÷ 13 =
  14. 14.14609 ÷ 112 =
  15. 15.5900 ÷ 12 =
  16. 16.4270 ÷ 11 =
  17. 17.42121 ÷ 102 =
  18. 18.12105 ÷ 121 =
  19. 19.15205 ÷ 102 =
  20. 20.4968 ÷ 11 =
  21. 21.4090 ÷ 12 =
  22. 22.31968 ÷ 121 =
  23. 23.34180 ÷ 112 =
  24. 24.4136 ÷ 13 =
  25. 25.435 ÷ 13 =
  26. 26.15394 ÷ 112 =
  27. 27.22001 ÷ 112 =
  28. 28.27264 ÷ 111 =
  29. 29.4708 ÷ 12 =
  30. 30.24679 ÷ 102 =
  31. 31.27979 ÷ 112 =
  32. 32.4859 ÷ 112 =
  33. 33.55753 ÷ 103 =
  34. 34.60363 ÷ 102 =
  35. 35.57389 ÷ 103 =
  36. 36.36018 ÷ 112 =
  37. 37.42107 ÷ 102 =
  38. 38.67294 ÷ 103 =
  39. 39.3223 ÷ 11 =
  40. 40.9816 ÷ 12 =

Answer key

  1. 461 rem 4
  2. 669 rem 4
  3. 281 rem 0
  4. 238 rem 65
  5. 574 rem 5
  6. 738 rem 9
  7. 677 rem 4
  8. 381 rem 2
  9. 96 rem 12
  10. 375 rem 107
  11. 641 rem 89
  12. 580 rem 8
  13. 10 rem 0
  14. 130 rem 49
  15. 491 rem 8
  16. 388 rem 2
  17. 412 rem 97
  18. 100 rem 5
  19. 149 rem 7
  20. 451 rem 7
  21. 340 rem 10
  22. 264 rem 24
  23. 305 rem 20
  24. 318 rem 2
  25. 33 rem 6
  26. 137 rem 50
  27. 196 rem 49
  28. 245 rem 69
  29. 392 rem 4
  30. 241 rem 97
  31. 249 rem 91
  32. 43 rem 43
  33. 541 rem 30
  34. 591 rem 81
  35. 557 rem 18
  36. 321 rem 66
  37. 412 rem 83
  38. 653 rem 35
  39. 293 rem 0
  40. 818 rem 0

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