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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 287 · 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. 1.31624 ÷ 96 =
  2. 2.67558 ÷ 89 =
  3. 3.35407 ÷ 897 =
  4. 4.326156 ÷ 997 =
  5. 5.5118 ÷ 98 =
  6. 6.137174 ÷ 989 =
  7. 7.209590 ÷ 998 =
  8. 8.4556 ÷ 97 =
  9. 9.8796 ÷ 97 =
  10. 10.954271 ÷ 997 =
  11. 11.7754 ÷ 8 =
  12. 12.781141 ÷ 989 =
  13. 13.5975 ÷ 88 =
  14. 14.22299 ÷ 89 =
  15. 15.490788 ÷ 998 =
  16. 16.888841 ÷ 989 =
  17. 17.87520 ÷ 89 =
  18. 18.423080 ÷ 989 =
  19. 19.72503 ÷ 89 =
  20. 20.220422 ÷ 997 =
  21. 21.25818 ÷ 98 =
  22. 22.62726 ÷ 98 =
  23. 23.53934 ÷ 97 =
  24. 24.1027 ÷ 8 =
  25. 25.81867 ÷ 88 =
  26. 26.451323 ÷ 997 =
  27. 27.402918 ÷ 997 =
  28. 28.4508 ÷ 88 =
  29. 29.33699 ÷ 97 =
  30. 30.93745 ÷ 98 =
  31. 31.42143 ÷ 88 =
  32. 32.962478 ÷ 988 =
  33. 33.10009 ÷ 89 =
  34. 34.500119 ÷ 897 =
  35. 35.468494 ÷ 988 =
  36. 36.59958 ÷ 88 =
  37. 37.143441 ÷ 989 =
  38. 38.631298 ÷ 997 =
  39. 39.39871 ÷ 998 =
  40. 40.709660 ÷ 998 =

Answer key

  1. 329 rem 40
  2. 759 rem 7
  3. 39 rem 424
  4. 327 rem 137
  5. 52 rem 22
  6. 138 rem 692
  7. 210 rem 10
  8. 46 rem 94
  9. 90 rem 66
  10. 957 rem 142
  11. 969 rem 2
  12. 789 rem 820
  13. 67 rem 79
  14. 250 rem 49
  15. 491 rem 770
  16. 898 rem 719
  17. 983 rem 33
  18. 427 rem 777
  19. 814 rem 57
  20. 221 rem 85
  21. 263 rem 44
  22. 640 rem 6
  23. 556 rem 2
  24. 128 rem 3
  25. 930 rem 27
  26. 452 rem 679
  27. 404 rem 130
  28. 51 rem 20
  29. 347 rem 40
  30. 956 rem 57
  31. 478 rem 79
  32. 974 rem 166
  33. 112 rem 41
  34. 557 rem 490
  35. 474 rem 182
  36. 681 rem 30
  37. 145 rem 36
  38. 633 rem 197
  39. 39 rem 949
  40. 711 rem 82

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