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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 829 · 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. 1.1511 ÷ 11 =
  2. 2.85588 ÷ 112 =
  3. 3.486 ÷ 13 =
  4. 4.22122 ÷ 112 =
  5. 5.2016 ÷ 13 =
  6. 6.3410 ÷ 13 =
  7. 7.165 ÷ 13 =
  8. 8.1306 ÷ 11 =
  9. 9.2917 ÷ 11 =
  10. 10.9430 ÷ 11 =
  11. 11.7220 ÷ 12 =
  12. 12.48612 ÷ 112 =
  13. 13.8580 ÷ 12 =
  14. 14.14360 ÷ 102 =
  15. 15.801 ÷ 13 =
  16. 16.91448 ÷ 111 =
  17. 17.64033 ÷ 111 =
  18. 18.17013 ÷ 121 =
  19. 19.9096 ÷ 11 =
  20. 20.12327 ÷ 121 =
  21. 21.3865 ÷ 11 =
  22. 22.2332 ÷ 13 =
  23. 23.66658 ÷ 103 =
  24. 24.8874 ÷ 11 =
  25. 25.3104 ÷ 11 =
  26. 26.95419 ÷ 103 =
  27. 27.91541 ÷ 103 =
  28. 28.95349 ÷ 102 =
  29. 29.21844 ÷ 103 =
  30. 30.7888 ÷ 13 =
  31. 31.90645 ÷ 121 =
  32. 32.117 ÷ 12 =
  33. 33.12676 ÷ 102 =
  34. 34.2156 ÷ 11 =
  35. 35.61109 ÷ 111 =
  36. 36.79182 ÷ 103 =
  37. 37.2852 ÷ 13 =
  38. 38.94235 ÷ 103 =
  39. 39.2842 ÷ 112 =
  40. 40.33094 ÷ 103 =

Answer key

  1. 137 rem 4
  2. 764 rem 20
  3. 37 rem 5
  4. 197 rem 58
  5. 155 rem 1
  6. 262 rem 4
  7. 12 rem 9
  8. 118 rem 8
  9. 265 rem 2
  10. 857 rem 3
  11. 601 rem 8
  12. 434 rem 4
  13. 715 rem 0
  14. 140 rem 80
  15. 61 rem 8
  16. 823 rem 95
  17. 576 rem 97
  18. 140 rem 73
  19. 826 rem 10
  20. 101 rem 106
  21. 351 rem 4
  22. 179 rem 5
  23. 647 rem 17
  24. 806 rem 8
  25. 282 rem 2
  26. 926 rem 41
  27. 888 rem 77
  28. 934 rem 81
  29. 212 rem 8
  30. 606 rem 10
  31. 749 rem 16
  32. 9 rem 9
  33. 124 rem 28
  34. 196 rem 0
  35. 550 rem 59
  36. 768 rem 78
  37. 219 rem 5
  38. 914 rem 93
  39. 25 rem 42
  40. 321 rem 31

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