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Paravartya Division Worksheet

Vedic maths trick 28: Paravartya division (11, 12, 112…) · Set 800 · 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. 1.80864 ÷ 112 =
  2. 2.12971 ÷ 112 =
  3. 3.8189 ÷ 12 =
  4. 4.8966 ÷ 12 =
  5. 5.5232 ÷ 13 =
  6. 6.14087 ÷ 103 =
  7. 7.9888 ÷ 11 =
  8. 8.52145 ÷ 103 =
  9. 9.29937 ÷ 102 =
  10. 10.3665 ÷ 11 =
  11. 11.43195 ÷ 102 =
  12. 12.9425 ÷ 12 =
  13. 13.5738 ÷ 12 =
  14. 14.4285 ÷ 12 =
  15. 15.26494 ÷ 112 =
  16. 16.7378 ÷ 12 =
  17. 17.6981 ÷ 13 =
  18. 18.76771 ÷ 112 =
  19. 19.94745 ÷ 111 =
  20. 20.67080 ÷ 102 =
  21. 21.1540 ÷ 12 =
  22. 22.48112 ÷ 112 =
  23. 23.3530 ÷ 13 =
  24. 24.19017 ÷ 111 =
  25. 25.4299 ÷ 11 =
  26. 26.5224 ÷ 11 =
  27. 27.78995 ÷ 103 =
  28. 28.96092 ÷ 112 =
  29. 29.78397 ÷ 103 =
  30. 30.33970 ÷ 103 =
  31. 31.3030 ÷ 11 =
  32. 32.31410 ÷ 111 =
  33. 33.5453 ÷ 11 =
  34. 34.1731 ÷ 12 =
  35. 35.8643 ÷ 11 =
  36. 36.7471 ÷ 12 =
  37. 37.56264 ÷ 111 =
  38. 38.60831 ÷ 111 =
  39. 39.8499 ÷ 11 =
  40. 40.17568 ÷ 111 =

Answer key

  1. 722 rem 0
  2. 115 rem 91
  3. 682 rem 5
  4. 747 rem 2
  5. 402 rem 6
  6. 136 rem 79
  7. 898 rem 10
  8. 506 rem 27
  9. 293 rem 51
  10. 333 rem 2
  11. 423 rem 49
  12. 785 rem 5
  13. 478 rem 2
  14. 357 rem 1
  15. 236 rem 62
  16. 614 rem 10
  17. 537 rem 0
  18. 685 rem 51
  19. 853 rem 62
  20. 657 rem 66
  21. 128 rem 4
  22. 429 rem 64
  23. 271 rem 7
  24. 171 rem 36
  25. 390 rem 9
  26. 474 rem 10
  27. 766 rem 97
  28. 857 rem 108
  29. 761 rem 14
  30. 329 rem 83
  31. 275 rem 5
  32. 282 rem 108
  33. 495 rem 8
  34. 144 rem 3
  35. 785 rem 8
  36. 622 rem 7
  37. 506 rem 98
  38. 548 rem 3
  39. 772 rem 7
  40. 158 rem 30

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