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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 861 · 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. 1.5032 ÷ 12 =
  2. 2.2761 ÷ 13 =
  3. 3.4680 ÷ 12 =
  4. 4.88050 ÷ 102 =
  5. 5.40672 ÷ 121 =
  6. 6.2048 ÷ 13 =
  7. 7.3325 ÷ 11 =
  8. 8.39323 ÷ 103 =
  9. 9.7001 ÷ 11 =
  10. 10.1987 ÷ 12 =
  11. 11.1412 ÷ 12 =
  12. 12.80839 ÷ 102 =
  13. 13.13128 ÷ 112 =
  14. 14.6511 ÷ 13 =
  15. 15.3215 ÷ 11 =
  16. 16.40862 ÷ 121 =
  17. 17.9911 ÷ 11 =
  18. 18.3195 ÷ 12 =
  19. 19.7174 ÷ 12 =
  20. 20.70656 ÷ 102 =
  21. 21.82150 ÷ 111 =
  22. 22.5109 ÷ 13 =
  23. 23.23811 ÷ 103 =
  24. 24.40073 ÷ 102 =
  25. 25.29806 ÷ 112 =
  26. 26.11895 ÷ 111 =
  27. 27.6063 ÷ 12 =
  28. 28.93621 ÷ 103 =
  29. 29.4283 ÷ 12 =
  30. 30.67326 ÷ 112 =
  31. 31.7095 ÷ 112 =
  32. 32.1633 ÷ 11 =
  33. 33.1166 ÷ 11 =
  34. 34.2578 ÷ 11 =
  35. 35.8436 ÷ 12 =
  36. 36.4522 ÷ 121 =
  37. 37.33547 ÷ 112 =
  38. 38.3511 ÷ 12 =
  39. 39.74137 ÷ 111 =
  40. 40.31245 ÷ 112 =

Answer key

  1. 419 rem 4
  2. 212 rem 5
  3. 390 rem 0
  4. 863 rem 24
  5. 336 rem 16
  6. 157 rem 7
  7. 302 rem 3
  8. 381 rem 80
  9. 636 rem 5
  10. 165 rem 7
  11. 117 rem 8
  12. 792 rem 55
  13. 117 rem 24
  14. 500 rem 11
  15. 292 rem 3
  16. 337 rem 85
  17. 901 rem 0
  18. 266 rem 3
  19. 597 rem 10
  20. 692 rem 72
  21. 740 rem 10
  22. 393 rem 0
  23. 231 rem 18
  24. 392 rem 89
  25. 266 rem 14
  26. 107 rem 18
  27. 505 rem 3
  28. 908 rem 97
  29. 356 rem 11
  30. 601 rem 14
  31. 63 rem 39
  32. 148 rem 5
  33. 106 rem 0
  34. 234 rem 4
  35. 703 rem 0
  36. 37 rem 45
  37. 299 rem 59
  38. 292 rem 7
  39. 667 rem 100
  40. 278 rem 109

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