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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 830 · 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. 1.91764 ÷ 96 =
  2. 2.12024 ÷ 89 =
  3. 3.9764 ÷ 8 =
  4. 4.4271 ÷ 8 =
  5. 5.6716 ÷ 8 =
  6. 6.674711 ÷ 989 =
  7. 7.42750 ÷ 88 =
  8. 8.207629 ÷ 998 =
  9. 9.12142 ÷ 97 =
  10. 10.515766 ÷ 998 =
  11. 11.300799 ÷ 988 =
  12. 12.907011 ÷ 989 =
  13. 13.472971 ÷ 988 =
  14. 14.56484 ÷ 89 =
  15. 15.211695 ÷ 897 =
  16. 16.991141 ÷ 997 =
  17. 17.8702 ÷ 8 =
  18. 18.636868 ÷ 998 =
  19. 19.169361 ÷ 997 =
  20. 20.127703 ÷ 997 =
  21. 21.34538 ÷ 89 =
  22. 22.4115 ÷ 98 =
  23. 23.7744 ÷ 8 =
  24. 24.118746 ÷ 997 =
  25. 25.80535 ÷ 98 =
  26. 26.75847 ÷ 96 =
  27. 27.71872 ÷ 97 =
  28. 28.65572 ÷ 89 =
  29. 29.229538 ÷ 897 =
  30. 30.69450 ÷ 88 =
  31. 31.22926 ÷ 96 =
  32. 32.23930 ÷ 89 =
  33. 33.461984 ÷ 989 =
  34. 34.88245 ÷ 97 =
  35. 35.152939 ÷ 988 =
  36. 36.47612 ÷ 989 =
  37. 37.89648 ÷ 96 =
  38. 38.13735 ÷ 96 =
  39. 39.27566 ÷ 97 =
  40. 40.30724 ÷ 97 =

Answer key

  1. 955 rem 84
  2. 135 rem 9
  3. 1220 rem 4
  4. 533 rem 7
  5. 839 rem 4
  6. 682 rem 213
  7. 485 rem 70
  8. 208 rem 45
  9. 125 rem 17
  10. 516 rem 798
  11. 304 rem 447
  12. 917 rem 98
  13. 478 rem 707
  14. 634 rem 58
  15. 236 rem 3
  16. 994 rem 123
  17. 1087 rem 6
  18. 638 rem 144
  19. 169 rem 868
  20. 128 rem 87
  21. 388 rem 6
  22. 41 rem 97
  23. 968 rem 0
  24. 119 rem 103
  25. 821 rem 77
  26. 790 rem 7
  27. 740 rem 92
  28. 736 rem 68
  29. 255 rem 803
  30. 789 rem 18
  31. 238 rem 78
  32. 268 rem 78
  33. 467 rem 121
  34. 909 rem 72
  35. 154 rem 787
  36. 48 rem 140
  37. 933 rem 80
  38. 143 rem 7
  39. 284 rem 18
  40. 316 rem 72

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