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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 561 · 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. 1.5646 ÷ 12 =
  2. 2.7079 ÷ 102 =
  3. 3.8731 ÷ 12 =
  4. 4.73936 ÷ 102 =
  5. 5.6046 ÷ 121 =
  6. 6.41684 ÷ 121 =
  7. 7.5939 ÷ 13 =
  8. 8.2022 ÷ 12 =
  9. 9.5013 ÷ 12 =
  10. 10.70025 ÷ 103 =
  11. 11.28824 ÷ 121 =
  12. 12.4332 ÷ 13 =
  13. 13.3620 ÷ 12 =
  14. 14.8013 ÷ 11 =
  15. 15.2255 ÷ 12 =
  16. 16.1159 ÷ 102 =
  17. 17.23092 ÷ 102 =
  18. 18.75993 ÷ 112 =
  19. 19.29402 ÷ 103 =
  20. 20.7229 ÷ 13 =
  21. 21.9953 ÷ 103 =
  22. 22.98496 ÷ 103 =
  23. 23.1831 ÷ 12 =
  24. 24.2323 ÷ 11 =
  25. 25.94756 ÷ 102 =
  26. 26.1918 ÷ 11 =
  27. 27.2394 ÷ 12 =
  28. 28.9618 ÷ 12 =
  29. 29.66868 ÷ 103 =
  30. 30.10717 ÷ 102 =
  31. 31.4777 ÷ 111 =
  32. 32.9699 ÷ 11 =
  33. 33.59254 ÷ 111 =
  34. 34.21042 ÷ 121 =
  35. 35.4884 ÷ 12 =
  36. 36.19695 ÷ 112 =
  37. 37.7382 ÷ 12 =
  38. 38.23410 ÷ 112 =
  39. 39.1593 ÷ 13 =
  40. 40.16863 ÷ 121 =

Answer key

  1. 470 rem 6
  2. 69 rem 41
  3. 727 rem 7
  4. 724 rem 88
  5. 49 rem 117
  6. 344 rem 60
  7. 456 rem 11
  8. 168 rem 6
  9. 417 rem 9
  10. 679 rem 88
  11. 238 rem 26
  12. 333 rem 3
  13. 301 rem 8
  14. 728 rem 5
  15. 187 rem 11
  16. 11 rem 37
  17. 226 rem 40
  18. 678 rem 57
  19. 285 rem 47
  20. 556 rem 1
  21. 96 rem 65
  22. 956 rem 28
  23. 152 rem 7
  24. 211 rem 2
  25. 928 rem 100
  26. 174 rem 4
  27. 199 rem 6
  28. 801 rem 6
  29. 649 rem 21
  30. 105 rem 7
  31. 43 rem 4
  32. 881 rem 8
  33. 533 rem 91
  34. 173 rem 109
  35. 407 rem 0
  36. 175 rem 95
  37. 615 rem 2
  38. 209 rem 2
  39. 122 rem 7
  40. 139 rem 44

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