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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 185 · 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. 1.56524 ÷ 111 =
  2. 2.97718 ÷ 103 =
  3. 3.89905 ÷ 121 =
  4. 4.1012 ÷ 12 =
  5. 5.8135 ÷ 13 =
  6. 6.35957 ÷ 103 =
  7. 7.93991 ÷ 121 =
  8. 8.9334 ÷ 11 =
  9. 9.30163 ÷ 103 =
  10. 10.80794 ÷ 102 =
  11. 11.8553 ÷ 13 =
  12. 12.1083 ÷ 11 =
  13. 13.8975 ÷ 11 =
  14. 14.6737 ÷ 12 =
  15. 15.8131 ÷ 11 =
  16. 16.20151 ÷ 111 =
  17. 17.46147 ÷ 112 =
  18. 18.64887 ÷ 112 =
  19. 19.69444 ÷ 102 =
  20. 20.22937 ÷ 103 =
  21. 21.59921 ÷ 111 =
  22. 22.14125 ÷ 121 =
  23. 23.69663 ÷ 112 =
  24. 24.23188 ÷ 102 =
  25. 25.2990 ÷ 12 =
  26. 26.8489 ÷ 11 =
  27. 27.96536 ÷ 121 =
  28. 28.6110 ÷ 11 =
  29. 29.1936 ÷ 13 =
  30. 30.97189 ÷ 111 =
  31. 31.85084 ÷ 102 =
  32. 32.83867 ÷ 102 =
  33. 33.77296 ÷ 102 =
  34. 34.53360 ÷ 112 =
  35. 35.353 ÷ 11 =
  36. 36.5475 ÷ 13 =
  37. 37.2210 ÷ 11 =
  38. 38.1353 ÷ 13 =
  39. 39.1181 ÷ 12 =
  40. 40.28217 ÷ 111 =

Answer key

  1. 509 rem 25
  2. 948 rem 74
  3. 743 rem 2
  4. 84 rem 4
  5. 625 rem 10
  6. 349 rem 10
  7. 776 rem 95
  8. 848 rem 6
  9. 292 rem 87
  10. 792 rem 10
  11. 657 rem 12
  12. 98 rem 5
  13. 815 rem 10
  14. 561 rem 5
  15. 739 rem 2
  16. 181 rem 60
  17. 412 rem 3
  18. 579 rem 39
  19. 680 rem 84
  20. 222 rem 71
  21. 539 rem 92
  22. 116 rem 89
  23. 621 rem 111
  24. 227 rem 34
  25. 249 rem 2
  26. 771 rem 8
  27. 797 rem 99
  28. 555 rem 5
  29. 148 rem 12
  30. 875 rem 64
  31. 834 rem 16
  32. 822 rem 23
  33. 757 rem 82
  34. 476 rem 48
  35. 32 rem 1
  36. 421 rem 2
  37. 200 rem 10
  38. 104 rem 1
  39. 98 rem 5
  40. 254 rem 23

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