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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 469 · 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. 1.2583 ÷ 111 =
  2. 2.9574 ÷ 11 =
  3. 3.80025 ÷ 103 =
  4. 4.3307 ÷ 13 =
  5. 5.87409 ÷ 112 =
  6. 6.42088 ÷ 112 =
  7. 7.56427 ÷ 112 =
  8. 8.11964 ÷ 102 =
  9. 9.4286 ÷ 13 =
  10. 10.29941 ÷ 103 =
  11. 11.3560 ÷ 13 =
  12. 12.119 ÷ 11 =
  13. 13.329 ÷ 13 =
  14. 14.16118 ÷ 112 =
  15. 15.78693 ÷ 102 =
  16. 16.1573 ÷ 11 =
  17. 17.25710 ÷ 112 =
  18. 18.9687 ÷ 13 =
  19. 19.6991 ÷ 13 =
  20. 20.7628 ÷ 111 =
  21. 21.2997 ÷ 112 =
  22. 22.1733 ÷ 11 =
  23. 23.25815 ÷ 103 =
  24. 24.92052 ÷ 121 =
  25. 25.7280 ÷ 103 =
  26. 26.29736 ÷ 112 =
  27. 27.3230 ÷ 11 =
  28. 28.9677 ÷ 12 =
  29. 29.70243 ÷ 121 =
  30. 30.70807 ÷ 103 =
  31. 31.6052 ÷ 11 =
  32. 32.61115 ÷ 102 =
  33. 33.3972 ÷ 12 =
  34. 34.9331 ÷ 13 =
  35. 35.19464 ÷ 111 =
  36. 36.62583 ÷ 111 =
  37. 37.22038 ÷ 121 =
  38. 38.8229 ÷ 11 =
  39. 39.76941 ÷ 111 =
  40. 40.71196 ÷ 121 =

Answer key

  1. 23 rem 30
  2. 870 rem 4
  3. 776 rem 97
  4. 254 rem 5
  5. 780 rem 49
  6. 375 rem 88
  7. 503 rem 91
  8. 117 rem 30
  9. 329 rem 9
  10. 290 rem 71
  11. 273 rem 11
  12. 10 rem 9
  13. 25 rem 4
  14. 143 rem 102
  15. 771 rem 51
  16. 143 rem 0
  17. 229 rem 62
  18. 745 rem 2
  19. 537 rem 10
  20. 68 rem 80
  21. 26 rem 85
  22. 157 rem 6
  23. 250 rem 65
  24. 760 rem 92
  25. 70 rem 70
  26. 265 rem 56
  27. 293 rem 7
  28. 806 rem 5
  29. 580 rem 63
  30. 687 rem 46
  31. 550 rem 2
  32. 599 rem 17
  33. 331 rem 0
  34. 717 rem 10
  35. 175 rem 39
  36. 563 rem 90
  37. 182 rem 16
  38. 748 rem 1
  39. 693 rem 18
  40. 588 rem 48

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