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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 70 · 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. 1.291757 ÷ 998 =
  2. 2.16059 ÷ 98 =
  3. 3.59844 ÷ 88 =
  4. 4.549266 ÷ 989 =
  5. 5.1928 ÷ 8 =
  6. 6.39094 ÷ 98 =
  7. 7.615978 ÷ 988 =
  8. 8.689217 ÷ 997 =
  9. 9.71712 ÷ 88 =
  10. 10.992295 ÷ 989 =
  11. 11.756713 ÷ 989 =
  12. 12.405204 ÷ 988 =
  13. 13.39288 ÷ 88 =
  14. 14.187874 ÷ 989 =
  15. 15.44467 ÷ 88 =
  16. 16.37720 ÷ 89 =
  17. 17.28809 ÷ 98 =
  18. 18.27568 ÷ 98 =
  19. 19.896798 ÷ 988 =
  20. 20.670 ÷ 8 =
  21. 21.957086 ÷ 989 =
  22. 22.64843 ÷ 96 =
  23. 23.309994 ÷ 897 =
  24. 24.76656 ÷ 97 =
  25. 25.24663 ÷ 96 =
  26. 26.30345 ÷ 96 =
  27. 27.41915 ÷ 988 =
  28. 28.22968 ÷ 88 =
  29. 29.95105 ÷ 88 =
  30. 30.8033 ÷ 8 =
  31. 31.912922 ÷ 897 =
  32. 32.628712 ÷ 998 =
  33. 33.6842 ÷ 8 =
  34. 34.72717 ÷ 988 =
  35. 35.26421 ÷ 89 =
  36. 36.94298 ÷ 89 =
  37. 37.692850 ÷ 897 =
  38. 38.305992 ÷ 997 =
  39. 39.6284 ÷ 8 =
  40. 40.98313 ÷ 989 =

Answer key

  1. 292 rem 341
  2. 163 rem 85
  3. 680 rem 4
  4. 555 rem 371
  5. 241 rem 0
  6. 398 rem 90
  7. 623 rem 454
  8. 691 rem 290
  9. 814 rem 80
  10. 1003 rem 328
  11. 765 rem 128
  12. 410 rem 124
  13. 446 rem 40
  14. 189 rem 953
  15. 505 rem 27
  16. 423 rem 73
  17. 293 rem 95
  18. 281 rem 30
  19. 907 rem 682
  20. 83 rem 6
  21. 967 rem 723
  22. 675 rem 43
  23. 345 rem 529
  24. 790 rem 26
  25. 256 rem 87
  26. 316 rem 9
  27. 42 rem 419
  28. 261 rem 0
  29. 1080 rem 65
  30. 1004 rem 1
  31. 1017 rem 673
  32. 629 rem 970
  33. 855 rem 2
  34. 73 rem 593
  35. 296 rem 77
  36. 1059 rem 47
  37. 772 rem 366
  38. 306 rem 910
  39. 785 rem 4
  40. 99 rem 402

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