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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 532 · 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. 1.19224 ÷ 112 =
  2. 2.47280 ÷ 111 =
  3. 3.697 ÷ 12 =
  4. 4.69444 ÷ 112 =
  5. 5.4109 ÷ 11 =
  6. 6.67369 ÷ 103 =
  7. 7.68268 ÷ 103 =
  8. 8.2366 ÷ 12 =
  9. 9.1213 ÷ 11 =
  10. 10.91220 ÷ 102 =
  11. 11.3015 ÷ 13 =
  12. 12.16947 ÷ 102 =
  13. 13.4099 ÷ 13 =
  14. 14.49874 ÷ 121 =
  15. 15.7776 ÷ 12 =
  16. 16.74943 ÷ 103 =
  17. 17.23561 ÷ 112 =
  18. 18.1061 ÷ 103 =
  19. 19.96570 ÷ 112 =
  20. 20.64896 ÷ 111 =
  21. 21.80177 ÷ 111 =
  22. 22.891 ÷ 12 =
  23. 23.4737 ÷ 111 =
  24. 24.8338 ÷ 121 =
  25. 25.52650 ÷ 112 =
  26. 26.31303 ÷ 102 =
  27. 27.92982 ÷ 102 =
  28. 28.6772 ÷ 111 =
  29. 29.98287 ÷ 103 =
  30. 30.96456 ÷ 112 =
  31. 31.5802 ÷ 11 =
  32. 32.80449 ÷ 112 =
  33. 33.6287 ÷ 102 =
  34. 34.17517 ÷ 121 =
  35. 35.1991 ÷ 103 =
  36. 36.92906 ÷ 103 =
  37. 37.38282 ÷ 112 =
  38. 38.44481 ÷ 112 =
  39. 39.16287 ÷ 102 =
  40. 40.1887 ÷ 11 =

Answer key

  1. 171 rem 72
  2. 425 rem 105
  3. 58 rem 1
  4. 620 rem 4
  5. 373 rem 6
  6. 654 rem 7
  7. 662 rem 82
  8. 197 rem 2
  9. 110 rem 3
  10. 894 rem 32
  11. 231 rem 12
  12. 166 rem 15
  13. 315 rem 4
  14. 412 rem 22
  15. 648 rem 0
  16. 727 rem 62
  17. 210 rem 41
  18. 10 rem 31
  19. 862 rem 26
  20. 584 rem 72
  21. 722 rem 35
  22. 74 rem 3
  23. 42 rem 75
  24. 68 rem 110
  25. 470 rem 10
  26. 306 rem 91
  27. 911 rem 60
  28. 61 rem 1
  29. 954 rem 25
  30. 861 rem 24
  31. 527 rem 5
  32. 718 rem 33
  33. 61 rem 65
  34. 144 rem 93
  35. 19 rem 34
  36. 902 rem 0
  37. 341 rem 90
  38. 397 rem 17
  39. 159 rem 69
  40. 171 rem 6

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