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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 973 · 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. 1.7416 ÷ 11 =
  2. 2.30007 ÷ 102 =
  3. 3.38460 ÷ 112 =
  4. 4.2658 ÷ 12 =
  5. 5.22201 ÷ 103 =
  6. 6.75947 ÷ 121 =
  7. 7.9765 ÷ 11 =
  8. 8.89120 ÷ 111 =
  9. 9.39389 ÷ 111 =
  10. 10.2589 ÷ 13 =
  11. 11.5202 ÷ 11 =
  12. 12.29967 ÷ 102 =
  13. 13.95536 ÷ 112 =
  14. 14.89149 ÷ 111 =
  15. 15.3633 ÷ 13 =
  16. 16.8987 ÷ 11 =
  17. 17.5911 ÷ 12 =
  18. 18.24624 ÷ 112 =
  19. 19.6999 ÷ 13 =
  20. 20.51876 ÷ 111 =
  21. 21.63426 ÷ 102 =
  22. 22.3591 ÷ 12 =
  23. 23.78563 ÷ 121 =
  24. 24.86374 ÷ 121 =
  25. 25.7402 ÷ 11 =
  26. 26.61260 ÷ 103 =
  27. 27.80794 ÷ 102 =
  28. 28.64686 ÷ 102 =
  29. 29.75020 ÷ 111 =
  30. 30.38874 ÷ 121 =
  31. 31.6043 ÷ 111 =
  32. 32.5429 ÷ 111 =
  33. 33.2671 ÷ 102 =
  34. 34.29609 ÷ 112 =
  35. 35.5896 ÷ 11 =
  36. 36.68587 ÷ 103 =
  37. 37.77411 ÷ 102 =
  38. 38.2095 ÷ 11 =
  39. 39.57443 ÷ 111 =
  40. 40.45095 ÷ 112 =

Answer key

  1. 674 rem 2
  2. 294 rem 19
  3. 343 rem 44
  4. 221 rem 6
  5. 215 rem 56
  6. 627 rem 80
  7. 887 rem 8
  8. 802 rem 98
  9. 354 rem 95
  10. 199 rem 2
  11. 472 rem 10
  12. 293 rem 81
  13. 853 rem 0
  14. 803 rem 16
  15. 279 rem 6
  16. 817 rem 0
  17. 492 rem 7
  18. 219 rem 96
  19. 538 rem 5
  20. 467 rem 39
  21. 621 rem 84
  22. 299 rem 3
  23. 649 rem 34
  24. 713 rem 101
  25. 672 rem 10
  26. 594 rem 78
  27. 792 rem 10
  28. 634 rem 18
  29. 675 rem 95
  30. 321 rem 33
  31. 54 rem 49
  32. 48 rem 101
  33. 26 rem 19
  34. 264 rem 41
  35. 536 rem 0
  36. 665 rem 92
  37. 758 rem 95
  38. 190 rem 5
  39. 517 rem 56
  40. 402 rem 71

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