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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 105 · 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. 1.96941 ÷ 103 =
  2. 2.53213 ÷ 111 =
  3. 3.85949 ÷ 121 =
  4. 4.1819 ÷ 11 =
  5. 5.17753 ÷ 121 =
  6. 6.2544 ÷ 12 =
  7. 7.9916 ÷ 12 =
  8. 8.20775 ÷ 112 =
  9. 9.89593 ÷ 111 =
  10. 10.66019 ÷ 103 =
  11. 11.7738 ÷ 13 =
  12. 12.7539 ÷ 12 =
  13. 13.7781 ÷ 13 =
  14. 14.5461 ÷ 12 =
  15. 15.2000 ÷ 12 =
  16. 16.1064 ÷ 103 =
  17. 17.9343 ÷ 13 =
  18. 18.85556 ÷ 102 =
  19. 19.6787 ÷ 12 =
  20. 20.95945 ÷ 102 =
  21. 21.8244 ÷ 12 =
  22. 22.1431 ÷ 11 =
  23. 23.37238 ÷ 112 =
  24. 24.94105 ÷ 112 =
  25. 25.9183 ÷ 103 =
  26. 26.1582 ÷ 11 =
  27. 27.6193 ÷ 111 =
  28. 28.45571 ÷ 102 =
  29. 29.9738 ÷ 111 =
  30. 30.5655 ÷ 13 =
  31. 31.10973 ÷ 112 =
  32. 32.2421 ÷ 12 =
  33. 33.3409 ÷ 12 =
  34. 34.2974 ÷ 12 =
  35. 35.70284 ÷ 102 =
  36. 36.65973 ÷ 121 =
  37. 37.9766 ÷ 12 =
  38. 38.4157 ÷ 11 =
  39. 39.5337 ÷ 12 =
  40. 40.67543 ÷ 103 =

Answer key

  1. 941 rem 18
  2. 479 rem 44
  3. 710 rem 39
  4. 165 rem 4
  5. 146 rem 87
  6. 212 rem 0
  7. 826 rem 4
  8. 185 rem 55
  9. 807 rem 16
  10. 640 rem 99
  11. 595 rem 3
  12. 628 rem 3
  13. 598 rem 7
  14. 455 rem 1
  15. 166 rem 8
  16. 10 rem 34
  17. 718 rem 9
  18. 838 rem 80
  19. 565 rem 7
  20. 940 rem 65
  21. 687 rem 0
  22. 130 rem 1
  23. 332 rem 54
  24. 840 rem 25
  25. 89 rem 16
  26. 143 rem 9
  27. 55 rem 88
  28. 446 rem 79
  29. 87 rem 81
  30. 435 rem 0
  31. 97 rem 109
  32. 201 rem 9
  33. 284 rem 1
  34. 247 rem 10
  35. 689 rem 6
  36. 545 rem 28
  37. 813 rem 10
  38. 377 rem 10
  39. 444 rem 9
  40. 655 rem 78

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