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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 447 · 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. 1.85131 ÷ 111 =
  2. 2.21831 ÷ 121 =
  3. 3.5061 ÷ 11 =
  4. 4.8064 ÷ 12 =
  5. 5.29152 ÷ 103 =
  6. 6.2478 ÷ 13 =
  7. 7.1930 ÷ 12 =
  8. 8.9113 ÷ 11 =
  9. 9.46667 ÷ 111 =
  10. 10.6628 ÷ 13 =
  11. 11.143 ÷ 13 =
  12. 12.2924 ÷ 12 =
  13. 13.4315 ÷ 12 =
  14. 14.9404 ÷ 11 =
  15. 15.8676 ÷ 13 =
  16. 16.11828 ÷ 112 =
  17. 17.84216 ÷ 121 =
  18. 18.33833 ÷ 111 =
  19. 19.98320 ÷ 111 =
  20. 20.52763 ÷ 111 =
  21. 21.20453 ÷ 121 =
  22. 22.5953 ÷ 13 =
  23. 23.26475 ÷ 121 =
  24. 24.74584 ÷ 111 =
  25. 25.93045 ÷ 103 =
  26. 26.97386 ÷ 112 =
  27. 27.17578 ÷ 111 =
  28. 28.97054 ÷ 121 =
  29. 29.1789 ÷ 11 =
  30. 30.44583 ÷ 102 =
  31. 31.8758 ÷ 13 =
  32. 32.98714 ÷ 111 =
  33. 33.4905 ÷ 11 =
  34. 34.16867 ÷ 121 =
  35. 35.6359 ÷ 13 =
  36. 36.8859 ÷ 12 =
  37. 37.86285 ÷ 121 =
  38. 38.1329 ÷ 13 =
  39. 39.4493 ÷ 11 =
  40. 40.4292 ÷ 11 =

Answer key

  1. 766 rem 105
  2. 180 rem 51
  3. 460 rem 1
  4. 672 rem 0
  5. 283 rem 3
  6. 190 rem 8
  7. 160 rem 10
  8. 828 rem 5
  9. 420 rem 47
  10. 509 rem 11
  11. 11 rem 0
  12. 243 rem 8
  13. 359 rem 7
  14. 854 rem 10
  15. 667 rem 5
  16. 105 rem 68
  17. 696 rem 0
  18. 304 rem 89
  19. 885 rem 85
  20. 475 rem 38
  21. 169 rem 4
  22. 457 rem 12
  23. 218 rem 97
  24. 671 rem 103
  25. 903 rem 36
  26. 869 rem 58
  27. 158 rem 40
  28. 802 rem 12
  29. 162 rem 7
  30. 437 rem 9
  31. 673 rem 9
  32. 889 rem 35
  33. 445 rem 10
  34. 139 rem 48
  35. 489 rem 2
  36. 738 rem 3
  37. 713 rem 12
  38. 102 rem 3
  39. 408 rem 5
  40. 390 rem 2

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