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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 372 · 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. 1.1522 ÷ 12 =
  2. 2.94968 ÷ 111 =
  3. 3.4054 ÷ 13 =
  4. 4.2984 ÷ 11 =
  5. 5.4646 ÷ 13 =
  6. 6.4351 ÷ 11 =
  7. 7.22687 ÷ 121 =
  8. 8.85020 ÷ 103 =
  9. 9.1921 ÷ 12 =
  10. 10.63099 ÷ 103 =
  11. 11.98406 ÷ 111 =
  12. 12.15955 ÷ 111 =
  13. 13.10618 ÷ 111 =
  14. 14.3975 ÷ 102 =
  15. 15.9432 ÷ 12 =
  16. 16.317 ÷ 12 =
  17. 17.66757 ÷ 102 =
  18. 18.1131 ÷ 13 =
  19. 19.62357 ÷ 111 =
  20. 20.5610 ÷ 102 =
  21. 21.71710 ÷ 121 =
  22. 22.2754 ÷ 102 =
  23. 23.20995 ÷ 112 =
  24. 24.5105 ÷ 12 =
  25. 25.2189 ÷ 11 =
  26. 26.5664 ÷ 12 =
  27. 27.1338 ÷ 111 =
  28. 28.7421 ÷ 13 =
  29. 29.2218 ÷ 13 =
  30. 30.5398 ÷ 11 =
  31. 31.1644 ÷ 11 =
  32. 32.1822 ÷ 11 =
  33. 33.67871 ÷ 102 =
  34. 34.57180 ÷ 112 =
  35. 35.190 ÷ 12 =
  36. 36.5947 ÷ 111 =
  37. 37.4139 ÷ 13 =
  38. 38.15089 ÷ 121 =
  39. 39.2238 ÷ 13 =
  40. 40.6976 ÷ 12 =

Answer key

  1. 126 rem 10
  2. 855 rem 63
  3. 311 rem 11
  4. 271 rem 3
  5. 357 rem 5
  6. 395 rem 6
  7. 187 rem 60
  8. 825 rem 45
  9. 160 rem 1
  10. 612 rem 63
  11. 886 rem 60
  12. 143 rem 82
  13. 95 rem 73
  14. 38 rem 99
  15. 786 rem 0
  16. 26 rem 5
  17. 654 rem 49
  18. 87 rem 0
  19. 561 rem 86
  20. 55 rem 0
  21. 592 rem 78
  22. 27 rem 0
  23. 187 rem 51
  24. 425 rem 5
  25. 199 rem 0
  26. 472 rem 0
  27. 12 rem 6
  28. 570 rem 11
  29. 170 rem 8
  30. 490 rem 8
  31. 149 rem 5
  32. 165 rem 7
  33. 665 rem 41
  34. 510 rem 60
  35. 15 rem 10
  36. 53 rem 64
  37. 318 rem 5
  38. 124 rem 85
  39. 172 rem 2
  40. 581 rem 4

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