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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 434 · 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. 1.10312 ÷ 988 =
  2. 2.93390 ÷ 88 =
  3. 3.91237 ÷ 89 =
  4. 4.612798 ÷ 989 =
  5. 5.897425 ÷ 998 =
  6. 6.69291 ÷ 88 =
  7. 7.425460 ÷ 989 =
  8. 8.85067 ÷ 97 =
  9. 9.71009 ÷ 96 =
  10. 10.7236 ÷ 88 =
  11. 11.961347 ÷ 989 =
  12. 12.59587 ÷ 97 =
  13. 13.31612 ÷ 97 =
  14. 14.168294 ÷ 988 =
  15. 15.536585 ÷ 989 =
  16. 16.806222 ÷ 997 =
  17. 17.214422 ÷ 997 =
  18. 18.815219 ÷ 988 =
  19. 19.4594 ÷ 8 =
  20. 20.964038 ÷ 989 =
  21. 21.946836 ÷ 897 =
  22. 22.110966 ÷ 897 =
  23. 23.59793 ÷ 97 =
  24. 24.748945 ÷ 998 =
  25. 25.5955 ÷ 8 =
  26. 26.79136 ÷ 96 =
  27. 27.37807 ÷ 89 =
  28. 28.85640 ÷ 98 =
  29. 29.80856 ÷ 89 =
  30. 30.134447 ÷ 997 =
  31. 31.91878 ÷ 96 =
  32. 32.78783 ÷ 97 =
  33. 33.98590 ÷ 88 =
  34. 34.5770 ÷ 8 =
  35. 35.628767 ÷ 998 =
  36. 36.690434 ÷ 897 =
  37. 37.3269 ÷ 98 =
  38. 38.41216 ÷ 97 =
  39. 39.6757 ÷ 8 =
  40. 40.711 ÷ 8 =

Answer key

  1. 10 rem 432
  2. 1061 rem 22
  3. 1025 rem 12
  4. 619 rem 607
  5. 899 rem 223
  6. 787 rem 35
  7. 430 rem 190
  8. 876 rem 95
  9. 739 rem 65
  10. 82 rem 20
  11. 972 rem 39
  12. 614 rem 29
  13. 325 rem 87
  14. 170 rem 334
  15. 542 rem 547
  16. 808 rem 646
  17. 215 rem 67
  18. 825 rem 119
  19. 574 rem 2
  20. 974 rem 752
  21. 1055 rem 501
  22. 123 rem 635
  23. 616 rem 41
  24. 750 rem 445
  25. 744 rem 3
  26. 824 rem 32
  27. 424 rem 71
  28. 873 rem 86
  29. 908 rem 44
  30. 134 rem 849
  31. 957 rem 6
  32. 812 rem 19
  33. 1120 rem 30
  34. 721 rem 2
  35. 630 rem 27
  36. 769 rem 641
  37. 33 rem 35
  38. 424 rem 88
  39. 844 rem 5
  40. 88 rem 7

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