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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 917 · 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. 1.17997 ÷ 103 =
  2. 2.12436 ÷ 112 =
  3. 3.16915 ÷ 102 =
  4. 4.25343 ÷ 102 =
  5. 5.67737 ÷ 121 =
  6. 6.4659 ÷ 13 =
  7. 7.2897 ÷ 12 =
  8. 8.2513 ÷ 12 =
  9. 9.6493 ÷ 11 =
  10. 10.8020 ÷ 13 =
  11. 11.31432 ÷ 111 =
  12. 12.15273 ÷ 103 =
  13. 13.1340 ÷ 12 =
  14. 14.59033 ÷ 102 =
  15. 15.2921 ÷ 13 =
  16. 16.5986 ÷ 13 =
  17. 17.5469 ÷ 11 =
  18. 18.4946 ÷ 12 =
  19. 19.55664 ÷ 102 =
  20. 20.76852 ÷ 112 =
  21. 21.10755 ÷ 111 =
  22. 22.88797 ÷ 111 =
  23. 23.93806 ÷ 111 =
  24. 24.1308 ÷ 102 =
  25. 25.20747 ÷ 111 =
  26. 26.15227 ÷ 112 =
  27. 27.76895 ÷ 103 =
  28. 28.87957 ÷ 112 =
  29. 29.6718 ÷ 12 =
  30. 30.82102 ÷ 121 =
  31. 31.5939 ÷ 13 =
  32. 32.40237 ÷ 103 =
  33. 33.12536 ÷ 112 =
  34. 34.94939 ÷ 102 =
  35. 35.14628 ÷ 112 =
  36. 36.8817 ÷ 12 =
  37. 37.1375 ÷ 11 =
  38. 38.44554 ÷ 102 =
  39. 39.97410 ÷ 103 =
  40. 40.85652 ÷ 111 =

Answer key

  1. 174 rem 75
  2. 111 rem 4
  3. 165 rem 85
  4. 248 rem 47
  5. 559 rem 98
  6. 358 rem 5
  7. 241 rem 5
  8. 209 rem 5
  9. 590 rem 3
  10. 616 rem 12
  11. 283 rem 19
  12. 148 rem 29
  13. 111 rem 8
  14. 578 rem 77
  15. 224 rem 9
  16. 460 rem 6
  17. 497 rem 2
  18. 412 rem 2
  19. 545 rem 74
  20. 686 rem 20
  21. 96 rem 99
  22. 799 rem 108
  23. 845 rem 11
  24. 12 rem 84
  25. 186 rem 101
  26. 135 rem 107
  27. 746 rem 57
  28. 785 rem 37
  29. 559 rem 10
  30. 678 rem 64
  31. 456 rem 11
  32. 390 rem 67
  33. 111 rem 104
  34. 930 rem 79
  35. 130 rem 68
  36. 734 rem 9
  37. 125 rem 0
  38. 436 rem 82
  39. 945 rem 75
  40. 771 rem 71

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