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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 995 · 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. 1.11669 ÷ 98 =
  2. 2.87528 ÷ 89 =
  3. 3.998660 ÷ 989 =
  4. 4.8458 ÷ 97 =
  5. 5.141568 ÷ 989 =
  6. 6.4594 ÷ 8 =
  7. 7.19165 ÷ 89 =
  8. 8.22362 ÷ 98 =
  9. 9.85453 ÷ 96 =
  10. 10.9531 ÷ 8 =
  11. 11.3854 ÷ 8 =
  12. 12.410340 ÷ 997 =
  13. 13.5101 ÷ 8 =
  14. 14.492201 ÷ 989 =
  15. 15.95117 ÷ 988 =
  16. 16.246644 ÷ 989 =
  17. 17.1116 ÷ 8 =
  18. 18.833676 ÷ 988 =
  19. 19.536608 ÷ 988 =
  20. 20.763444 ÷ 897 =
  21. 21.740 ÷ 8 =
  22. 22.6719 ÷ 8 =
  23. 23.6807 ÷ 8 =
  24. 24.425718 ÷ 897 =
  25. 25.730420 ÷ 988 =
  26. 26.661509 ÷ 989 =
  27. 27.2784 ÷ 96 =
  28. 28.3092 ÷ 98 =
  29. 29.155035 ÷ 989 =
  30. 30.3016 ÷ 89 =
  31. 31.84818 ÷ 97 =
  32. 32.2427 ÷ 88 =
  33. 33.773408 ÷ 988 =
  34. 34.31175 ÷ 88 =
  35. 35.939484 ÷ 989 =
  36. 36.255906 ÷ 897 =
  37. 37.126239 ÷ 997 =
  38. 38.670929 ÷ 897 =
  39. 39.95069 ÷ 89 =
  40. 40.97914 ÷ 96 =

Answer key

  1. 119 rem 7
  2. 983 rem 41
  3. 1009 rem 759
  4. 87 rem 19
  5. 143 rem 141
  6. 574 rem 2
  7. 215 rem 30
  8. 228 rem 18
  9. 890 rem 13
  10. 1191 rem 3
  11. 481 rem 6
  12. 411 rem 573
  13. 637 rem 5
  14. 497 rem 668
  15. 96 rem 269
  16. 249 rem 383
  17. 139 rem 4
  18. 843 rem 792
  19. 543 rem 124
  20. 851 rem 97
  21. 92 rem 4
  22. 839 rem 7
  23. 850 rem 7
  24. 474 rem 540
  25. 739 rem 288
  26. 668 rem 857
  27. 29 rem 0
  28. 31 rem 54
  29. 156 rem 751
  30. 33 rem 79
  31. 874 rem 40
  32. 27 rem 51
  33. 782 rem 792
  34. 354 rem 23
  35. 949 rem 923
  36. 285 rem 261
  37. 126 rem 617
  38. 747 rem 870
  39. 1068 rem 17
  40. 1019 rem 90

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