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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 438 · 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. 1.18029 ÷ 112 =
  2. 2.7975 ÷ 13 =
  3. 3.5198 ÷ 13 =
  4. 4.3789 ÷ 11 =
  5. 5.40995 ÷ 111 =
  6. 6.16023 ÷ 112 =
  7. 7.20211 ÷ 112 =
  8. 8.2417 ÷ 11 =
  9. 9.63673 ÷ 111 =
  10. 10.9167 ÷ 12 =
  11. 11.99681 ÷ 121 =
  12. 12.78957 ÷ 112 =
  13. 13.37923 ÷ 102 =
  14. 14.63532 ÷ 111 =
  15. 15.68241 ÷ 111 =
  16. 16.35981 ÷ 102 =
  17. 17.92912 ÷ 121 =
  18. 18.32237 ÷ 112 =
  19. 19.6434 ÷ 11 =
  20. 20.64920 ÷ 121 =
  21. 21.13202 ÷ 102 =
  22. 22.3406 ÷ 13 =
  23. 23.64998 ÷ 103 =
  24. 24.22788 ÷ 102 =
  25. 25.30469 ÷ 112 =
  26. 26.70237 ÷ 102 =
  27. 27.62626 ÷ 121 =
  28. 28.92043 ÷ 121 =
  29. 29.2174 ÷ 12 =
  30. 30.2024 ÷ 13 =
  31. 31.2809 ÷ 12 =
  32. 32.161 ÷ 12 =
  33. 33.1207 ÷ 11 =
  34. 34.10997 ÷ 121 =
  35. 35.9612 ÷ 12 =
  36. 36.2772 ÷ 12 =
  37. 37.2147 ÷ 12 =
  38. 38.44800 ÷ 103 =
  39. 39.80560 ÷ 112 =
  40. 40.3485 ÷ 103 =

Answer key

  1. 160 rem 109
  2. 613 rem 6
  3. 399 rem 11
  4. 344 rem 5
  5. 369 rem 36
  6. 143 rem 7
  7. 180 rem 51
  8. 219 rem 8
  9. 573 rem 70
  10. 763 rem 11
  11. 823 rem 98
  12. 704 rem 109
  13. 371 rem 81
  14. 572 rem 40
  15. 614 rem 87
  16. 352 rem 77
  17. 767 rem 105
  18. 287 rem 93
  19. 584 rem 10
  20. 536 rem 64
  21. 129 rem 44
  22. 262 rem 0
  23. 631 rem 5
  24. 223 rem 42
  25. 272 rem 5
  26. 688 rem 61
  27. 517 rem 69
  28. 760 rem 83
  29. 181 rem 2
  30. 155 rem 9
  31. 234 rem 1
  32. 13 rem 5
  33. 109 rem 8
  34. 90 rem 107
  35. 801 rem 0
  36. 231 rem 0
  37. 178 rem 11
  38. 434 rem 98
  39. 719 rem 32
  40. 33 rem 86

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