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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 664 · 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. 1.20603 ÷ 121 =
  2. 2.38463 ÷ 102 =
  3. 3.14183 ÷ 103 =
  4. 4.3204 ÷ 12 =
  5. 5.66388 ÷ 111 =
  6. 6.1883 ÷ 13 =
  7. 7.50518 ÷ 111 =
  8. 8.46974 ÷ 111 =
  9. 9.7881 ÷ 102 =
  10. 10.65136 ÷ 103 =
  11. 11.93198 ÷ 102 =
  12. 12.7476 ÷ 11 =
  13. 13.5784 ÷ 12 =
  14. 14.21959 ÷ 112 =
  15. 15.5896 ÷ 12 =
  16. 16.53496 ÷ 112 =
  17. 17.2495 ÷ 12 =
  18. 18.7017 ÷ 102 =
  19. 19.96888 ÷ 103 =
  20. 20.2814 ÷ 11 =
  21. 21.61048 ÷ 102 =
  22. 22.11426 ÷ 121 =
  23. 23.454 ÷ 12 =
  24. 24.6449 ÷ 102 =
  25. 25.18309 ÷ 103 =
  26. 26.8409 ÷ 12 =
  27. 27.8672 ÷ 13 =
  28. 28.1298 ÷ 12 =
  29. 29.31917 ÷ 103 =
  30. 30.8591 ÷ 13 =
  31. 31.86558 ÷ 103 =
  32. 32.8172 ÷ 12 =
  33. 33.61817 ÷ 112 =
  34. 34.2293 ÷ 11 =
  35. 35.2505 ÷ 12 =
  36. 36.54022 ÷ 103 =
  37. 37.7900 ÷ 103 =
  38. 38.20135 ÷ 111 =
  39. 39.78215 ÷ 111 =
  40. 40.9424 ÷ 112 =

Answer key

  1. 170 rem 33
  2. 377 rem 9
  3. 137 rem 72
  4. 267 rem 0
  5. 598 rem 10
  6. 144 rem 11
  7. 455 rem 13
  8. 423 rem 21
  9. 77 rem 27
  10. 632 rem 40
  11. 913 rem 72
  12. 679 rem 7
  13. 482 rem 0
  14. 196 rem 7
  15. 491 rem 4
  16. 477 rem 72
  17. 207 rem 11
  18. 68 rem 81
  19. 940 rem 68
  20. 255 rem 9
  21. 598 rem 52
  22. 94 rem 52
  23. 37 rem 10
  24. 63 rem 23
  25. 177 rem 78
  26. 700 rem 9
  27. 667 rem 1
  28. 108 rem 2
  29. 309 rem 90
  30. 660 rem 11
  31. 840 rem 38
  32. 681 rem 0
  33. 551 rem 105
  34. 208 rem 5
  35. 208 rem 9
  36. 524 rem 50
  37. 76 rem 72
  38. 181 rem 44
  39. 704 rem 71
  40. 84 rem 16

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