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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 219 · 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. 1.80933 ÷ 111 =
  2. 2.47223 ÷ 121 =
  3. 3.88116 ÷ 102 =
  4. 4.7943 ÷ 12 =
  5. 5.47320 ÷ 112 =
  6. 6.86441 ÷ 112 =
  7. 7.93704 ÷ 112 =
  8. 8.3263 ÷ 13 =
  9. 9.1878 ÷ 12 =
  10. 10.7706 ÷ 11 =
  11. 11.52784 ÷ 102 =
  12. 12.4264 ÷ 12 =
  13. 13.35888 ÷ 121 =
  14. 14.7546 ÷ 12 =
  15. 15.29443 ÷ 103 =
  16. 16.86659 ÷ 112 =
  17. 17.59074 ÷ 121 =
  18. 18.4756 ÷ 11 =
  19. 19.983 ÷ 13 =
  20. 20.8762 ÷ 11 =
  21. 21.20612 ÷ 102 =
  22. 22.37542 ÷ 102 =
  23. 23.29058 ÷ 102 =
  24. 24.3592 ÷ 12 =
  25. 25.121 ÷ 12 =
  26. 26.96478 ÷ 111 =
  27. 27.79125 ÷ 112 =
  28. 28.3237 ÷ 12 =
  29. 29.66732 ÷ 112 =
  30. 30.5685 ÷ 12 =
  31. 31.1906 ÷ 13 =
  32. 32.9167 ÷ 11 =
  33. 33.6257 ÷ 13 =
  34. 34.7337 ÷ 12 =
  35. 35.8043 ÷ 13 =
  36. 36.9605 ÷ 121 =
  37. 37.4238 ÷ 11 =
  38. 38.77907 ÷ 111 =
  39. 39.7769 ÷ 13 =
  40. 40.81511 ÷ 121 =

Answer key

  1. 729 rem 14
  2. 390 rem 33
  3. 863 rem 90
  4. 661 rem 11
  5. 422 rem 56
  6. 771 rem 89
  7. 836 rem 72
  8. 251 rem 0
  9. 156 rem 6
  10. 700 rem 6
  11. 517 rem 50
  12. 355 rem 4
  13. 296 rem 72
  14. 628 rem 10
  15. 285 rem 88
  16. 773 rem 83
  17. 488 rem 26
  18. 432 rem 4
  19. 75 rem 8
  20. 796 rem 6
  21. 202 rem 8
  22. 368 rem 6
  23. 284 rem 90
  24. 299 rem 4
  25. 10 rem 1
  26. 869 rem 19
  27. 706 rem 53
  28. 269 rem 9
  29. 595 rem 92
  30. 473 rem 9
  31. 146 rem 8
  32. 833 rem 4
  33. 481 rem 4
  34. 611 rem 5
  35. 618 rem 9
  36. 79 rem 46
  37. 385 rem 3
  38. 701 rem 96
  39. 597 rem 8
  40. 673 rem 78

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