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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 108 · 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. 1.619871 ÷ 997 =
  2. 2.148888 ÷ 997 =
  3. 3.28059 ÷ 97 =
  4. 4.432660 ÷ 989 =
  5. 5.85005 ÷ 988 =
  6. 6.93942 ÷ 97 =
  7. 7.9812 ÷ 8 =
  8. 8.169481 ÷ 989 =
  9. 9.1896 ÷ 98 =
  10. 10.460 ÷ 8 =
  11. 11.32752 ÷ 97 =
  12. 12.5871 ÷ 8 =
  13. 13.75073 ÷ 97 =
  14. 14.46243 ÷ 989 =
  15. 15.833201 ÷ 988 =
  16. 16.94618 ÷ 96 =
  17. 17.392409 ÷ 989 =
  18. 18.1020 ÷ 98 =
  19. 19.965159 ÷ 998 =
  20. 20.74843 ÷ 88 =
  21. 21.21689 ÷ 97 =
  22. 22.9713 ÷ 88 =
  23. 23.33476 ÷ 89 =
  24. 24.225212 ÷ 998 =
  25. 25.56260 ÷ 96 =
  26. 26.260906 ÷ 998 =
  27. 27.77669 ÷ 89 =
  28. 28.99482 ÷ 89 =
  29. 29.47092 ÷ 96 =
  30. 30.84569 ÷ 89 =
  31. 31.584986 ÷ 998 =
  32. 32.14729 ÷ 98 =
  33. 33.226330 ÷ 998 =
  34. 34.98680 ÷ 98 =
  35. 35.854784 ÷ 998 =
  36. 36.619933 ÷ 998 =
  37. 37.740587 ÷ 997 =
  38. 38.93108 ÷ 88 =
  39. 39.76054 ÷ 97 =
  40. 40.316051 ÷ 997 =

Answer key

  1. 621 rem 734
  2. 149 rem 335
  3. 289 rem 26
  4. 437 rem 467
  5. 86 rem 37
  6. 968 rem 46
  7. 1226 rem 4
  8. 171 rem 362
  9. 19 rem 34
  10. 57 rem 4
  11. 337 rem 63
  12. 733 rem 7
  13. 773 rem 92
  14. 46 rem 749
  15. 843 rem 317
  16. 985 rem 58
  17. 396 rem 765
  18. 10 rem 40
  19. 967 rem 93
  20. 850 rem 43
  21. 223 rem 58
  22. 110 rem 33
  23. 376 rem 12
  24. 225 rem 662
  25. 586 rem 4
  26. 261 rem 428
  27. 872 rem 61
  28. 1117 rem 69
  29. 490 rem 52
  30. 950 rem 19
  31. 586 rem 158
  32. 150 rem 29
  33. 226 rem 782
  34. 1006 rem 92
  35. 856 rem 496
  36. 621 rem 175
  37. 742 rem 813
  38. 1058 rem 4
  39. 784 rem 6
  40. 317 rem 2

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