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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 468 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.34521 ÷ 98 =
  2. 2.89575 ÷ 89 =
  3. 3.612616 ÷ 997 =
  4. 4.83574 ÷ 98 =
  5. 5.745179 ÷ 997 =
  6. 6.83012 ÷ 89 =
  7. 7.37875 ÷ 88 =
  8. 8.7091 ÷ 8 =
  9. 9.95093 ÷ 88 =
  10. 10.454060 ÷ 897 =
  11. 11.41636 ÷ 98 =
  12. 12.90500 ÷ 89 =
  13. 13.930725 ÷ 998 =
  14. 14.109146 ÷ 998 =
  15. 15.947700 ÷ 989 =
  16. 16.612713 ÷ 897 =
  17. 17.92031 ÷ 96 =
  18. 18.82013 ÷ 997 =
  19. 19.86823 ÷ 98 =
  20. 20.9058 ÷ 96 =
  21. 21.80203 ÷ 97 =
  22. 22.88524 ÷ 89 =
  23. 23.11728 ÷ 97 =
  24. 24.761317 ÷ 989 =
  25. 25.5775 ÷ 8 =
  26. 26.836667 ÷ 997 =
  27. 27.84880 ÷ 88 =
  28. 28.44017 ÷ 97 =
  29. 29.944 ÷ 8 =
  30. 30.659 ÷ 8 =
  31. 31.61631 ÷ 96 =
  32. 32.59986 ÷ 97 =
  33. 33.4532 ÷ 89 =
  34. 34.64397 ÷ 89 =
  35. 35.15249 ÷ 96 =
  36. 36.52772 ÷ 98 =
  37. 37.32877 ÷ 88 =
  38. 38.546881 ÷ 997 =
  39. 39.233313 ÷ 997 =
  40. 40.426698 ÷ 988 =

Answer key

  1. 352 rem 25
  2. 1006 rem 41
  3. 614 rem 458
  4. 852 rem 78
  5. 747 rem 420
  6. 932 rem 64
  7. 430 rem 35
  8. 886 rem 3
  9. 1080 rem 53
  10. 506 rem 178
  11. 424 rem 84
  12. 1016 rem 76
  13. 932 rem 589
  14. 109 rem 364
  15. 958 rem 238
  16. 683 rem 62
  17. 958 rem 63
  18. 82 rem 259
  19. 885 rem 93
  20. 94 rem 34
  21. 826 rem 81
  22. 994 rem 58
  23. 120 rem 88
  24. 769 rem 776
  25. 721 rem 7
  26. 839 rem 184
  27. 964 rem 48
  28. 453 rem 76
  29. 118 rem 0
  30. 82 rem 3
  31. 641 rem 95
  32. 618 rem 40
  33. 50 rem 82
  34. 723 rem 50
  35. 158 rem 81
  36. 538 rem 48
  37. 373 rem 53
  38. 548 rem 525
  39. 234 rem 15
  40. 431 rem 870

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