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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 113 · 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. 1.63902 ÷ 112 =
  2. 2.1435 ÷ 13 =
  3. 3.2107 ÷ 11 =
  4. 4.1878 ÷ 11 =
  5. 5.50524 ÷ 112 =
  6. 6.28725 ÷ 111 =
  7. 7.4868 ÷ 12 =
  8. 8.16236 ÷ 102 =
  9. 9.8004 ÷ 13 =
  10. 10.7707 ÷ 12 =
  11. 11.8278 ÷ 12 =
  12. 12.93105 ÷ 121 =
  13. 13.8541 ÷ 13 =
  14. 14.304 ÷ 12 =
  15. 15.8964 ÷ 111 =
  16. 16.5025 ÷ 111 =
  17. 17.6464 ÷ 13 =
  18. 18.24820 ÷ 111 =
  19. 19.54697 ÷ 112 =
  20. 20.6918 ÷ 11 =
  21. 21.22468 ÷ 121 =
  22. 22.59450 ÷ 121 =
  23. 23.12441 ÷ 112 =
  24. 24.3385 ÷ 12 =
  25. 25.14674 ÷ 121 =
  26. 26.50814 ÷ 111 =
  27. 27.36389 ÷ 111 =
  28. 28.44138 ÷ 102 =
  29. 29.1775 ÷ 12 =
  30. 30.54734 ÷ 121 =
  31. 31.68342 ÷ 121 =
  32. 32.4241 ÷ 13 =
  33. 33.11935 ÷ 102 =
  34. 34.4446 ÷ 13 =
  35. 35.2607 ÷ 102 =
  36. 36.7215 ÷ 12 =
  37. 37.1979 ÷ 11 =
  38. 38.13377 ÷ 102 =
  39. 39.12909 ÷ 112 =
  40. 40.96772 ÷ 102 =

Answer key

  1. 570 rem 62
  2. 110 rem 5
  3. 191 rem 6
  4. 170 rem 8
  5. 451 rem 12
  6. 258 rem 87
  7. 405 rem 8
  8. 159 rem 18
  9. 615 rem 9
  10. 642 rem 3
  11. 689 rem 10
  12. 769 rem 56
  13. 657 rem 0
  14. 25 rem 4
  15. 80 rem 84
  16. 45 rem 30
  17. 497 rem 3
  18. 223 rem 67
  19. 488 rem 41
  20. 628 rem 10
  21. 185 rem 83
  22. 491 rem 39
  23. 111 rem 9
  24. 282 rem 1
  25. 121 rem 33
  26. 457 rem 87
  27. 327 rem 92
  28. 432 rem 74
  29. 147 rem 11
  30. 452 rem 42
  31. 564 rem 98
  32. 326 rem 3
  33. 117 rem 1
  34. 342 rem 0
  35. 25 rem 57
  36. 601 rem 3
  37. 179 rem 10
  38. 131 rem 15
  39. 115 rem 29
  40. 948 rem 76

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