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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 99 · 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. 1.10748 ÷ 112 =
  2. 2.96824 ÷ 103 =
  3. 3.23056 ÷ 121 =
  4. 4.1136 ÷ 13 =
  5. 5.4663 ÷ 11 =
  6. 6.42364 ÷ 112 =
  7. 7.32251 ÷ 111 =
  8. 8.48980 ÷ 103 =
  9. 9.1303 ÷ 11 =
  10. 10.1226 ÷ 11 =
  11. 11.86799 ÷ 112 =
  12. 12.63421 ÷ 111 =
  13. 13.75867 ÷ 112 =
  14. 14.38556 ÷ 102 =
  15. 15.1912 ÷ 12 =
  16. 16.1504 ÷ 12 =
  17. 17.60599 ÷ 102 =
  18. 18.685 ÷ 11 =
  19. 19.28491 ÷ 121 =
  20. 20.3819 ÷ 12 =
  21. 21.63576 ÷ 103 =
  22. 22.8105 ÷ 102 =
  23. 23.1892 ÷ 13 =
  24. 24.69115 ÷ 102 =
  25. 25.6077 ÷ 11 =
  26. 26.3945 ÷ 12 =
  27. 27.81493 ÷ 103 =
  28. 28.1960 ÷ 12 =
  29. 29.11649 ÷ 103 =
  30. 30.8539 ÷ 11 =
  31. 31.40187 ÷ 121 =
  32. 32.3576 ÷ 111 =
  33. 33.41426 ÷ 102 =
  34. 34.9134 ÷ 13 =
  35. 35.6792 ÷ 12 =
  36. 36.3579 ÷ 11 =
  37. 37.2068 ÷ 13 =
  38. 38.5169 ÷ 13 =
  39. 39.4428 ÷ 11 =
  40. 40.95762 ÷ 121 =

Answer key

  1. 95 rem 108
  2. 940 rem 4
  3. 190 rem 66
  4. 87 rem 5
  5. 423 rem 10
  6. 378 rem 28
  7. 290 rem 61
  8. 475 rem 55
  9. 118 rem 5
  10. 111 rem 5
  11. 774 rem 111
  12. 571 rem 40
  13. 677 rem 43
  14. 378 rem 0
  15. 159 rem 4
  16. 125 rem 4
  17. 594 rem 11
  18. 62 rem 3
  19. 235 rem 56
  20. 318 rem 3
  21. 617 rem 25
  22. 79 rem 47
  23. 145 rem 7
  24. 677 rem 61
  25. 552 rem 5
  26. 328 rem 9
  27. 791 rem 20
  28. 163 rem 4
  29. 113 rem 10
  30. 776 rem 3
  31. 332 rem 15
  32. 32 rem 24
  33. 406 rem 14
  34. 702 rem 8
  35. 566 rem 0
  36. 325 rem 4
  37. 159 rem 1
  38. 397 rem 8
  39. 402 rem 6
  40. 791 rem 51

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