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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 231 · 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. 1.2307 ÷ 13 =
  2. 2.16226 ÷ 103 =
  3. 3.50166 ÷ 111 =
  4. 4.13726 ÷ 111 =
  5. 5.11965 ÷ 103 =
  6. 6.30260 ÷ 112 =
  7. 7.5954 ÷ 11 =
  8. 8.5387 ÷ 12 =
  9. 9.58614 ÷ 111 =
  10. 10.4353 ÷ 11 =
  11. 11.75568 ÷ 112 =
  12. 12.598 ÷ 13 =
  13. 13.19617 ÷ 112 =
  14. 14.2839 ÷ 13 =
  15. 15.96997 ÷ 103 =
  16. 16.43677 ÷ 111 =
  17. 17.5551 ÷ 11 =
  18. 18.33870 ÷ 111 =
  19. 19.28744 ÷ 103 =
  20. 20.20282 ÷ 111 =
  21. 21.40561 ÷ 111 =
  22. 22.8305 ÷ 13 =
  23. 23.25840 ÷ 111 =
  24. 24.41378 ÷ 112 =
  25. 25.3763 ÷ 11 =
  26. 26.74566 ÷ 112 =
  27. 27.87603 ÷ 112 =
  28. 28.95727 ÷ 112 =
  29. 29.4567 ÷ 103 =
  30. 30.98883 ÷ 121 =
  31. 31.22883 ÷ 103 =
  32. 32.1937 ÷ 11 =
  33. 33.7485 ÷ 13 =
  34. 34.3443 ÷ 112 =
  35. 35.6424 ÷ 12 =
  36. 36.42341 ÷ 103 =
  37. 37.93555 ÷ 103 =
  38. 38.90383 ÷ 121 =
  39. 39.51376 ÷ 111 =
  40. 40.68099 ÷ 103 =

Answer key

  1. 177 rem 6
  2. 157 rem 55
  3. 451 rem 105
  4. 123 rem 73
  5. 116 rem 17
  6. 270 rem 20
  7. 541 rem 3
  8. 448 rem 11
  9. 528 rem 6
  10. 395 rem 8
  11. 674 rem 80
  12. 46 rem 0
  13. 175 rem 17
  14. 218 rem 5
  15. 941 rem 74
  16. 393 rem 54
  17. 504 rem 7
  18. 305 rem 15
  19. 279 rem 7
  20. 182 rem 80
  21. 365 rem 46
  22. 638 rem 11
  23. 232 rem 88
  24. 369 rem 50
  25. 342 rem 1
  26. 665 rem 86
  27. 782 rem 19
  28. 854 rem 79
  29. 44 rem 35
  30. 817 rem 26
  31. 222 rem 17
  32. 176 rem 1
  33. 575 rem 10
  34. 30 rem 83
  35. 535 rem 4
  36. 411 rem 8
  37. 908 rem 31
  38. 746 rem 117
  39. 462 rem 94
  40. 661 rem 16

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