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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 876 · 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. 1.425878 ÷ 997 =
  2. 2.842132 ÷ 998 =
  3. 3.46233 ÷ 89 =
  4. 4.11741 ÷ 97 =
  5. 5.11613 ÷ 98 =
  6. 6.98655 ÷ 997 =
  7. 7.103970 ÷ 997 =
  8. 8.64433 ÷ 88 =
  9. 9.45098 ÷ 89 =
  10. 10.59449 ÷ 989 =
  11. 11.62490 ÷ 98 =
  12. 12.226841 ÷ 998 =
  13. 13.88571 ÷ 97 =
  14. 14.86602 ÷ 98 =
  15. 15.9058 ÷ 8 =
  16. 16.69159 ÷ 98 =
  17. 17.115792 ÷ 989 =
  18. 18.688777 ÷ 997 =
  19. 19.13740 ÷ 89 =
  20. 20.61189 ÷ 97 =
  21. 21.15920 ÷ 88 =
  22. 22.680924 ÷ 997 =
  23. 23.271400 ÷ 997 =
  24. 24.5833 ÷ 88 =
  25. 25.40584 ÷ 96 =
  26. 26.587674 ÷ 989 =
  27. 27.28884 ÷ 897 =
  28. 28.84064 ÷ 88 =
  29. 29.61256 ÷ 98 =
  30. 30.1400 ÷ 8 =
  31. 31.96144 ÷ 89 =
  32. 32.32593 ÷ 98 =
  33. 33.528027 ÷ 998 =
  34. 34.891510 ÷ 988 =
  35. 35.46719 ÷ 89 =
  36. 36.128580 ÷ 988 =
  37. 37.772262 ÷ 997 =
  38. 38.86242 ÷ 98 =
  39. 39.36017 ÷ 96 =
  40. 40.95836 ÷ 98 =

Answer key

  1. 427 rem 159
  2. 843 rem 818
  3. 519 rem 42
  4. 121 rem 4
  5. 118 rem 49
  6. 98 rem 949
  7. 104 rem 282
  8. 732 rem 17
  9. 506 rem 64
  10. 60 rem 109
  11. 637 rem 64
  12. 227 rem 295
  13. 913 rem 10
  14. 883 rem 68
  15. 1132 rem 2
  16. 705 rem 69
  17. 117 rem 79
  18. 690 rem 847
  19. 154 rem 34
  20. 630 rem 79
  21. 180 rem 80
  22. 682 rem 970
  23. 272 rem 216
  24. 66 rem 25
  25. 422 rem 72
  26. 594 rem 208
  27. 32 rem 180
  28. 955 rem 24
  29. 625 rem 6
  30. 175 rem 0
  31. 1080 rem 24
  32. 332 rem 57
  33. 529 rem 85
  34. 902 rem 334
  35. 524 rem 83
  36. 130 rem 140
  37. 774 rem 584
  38. 880 rem 2
  39. 375 rem 17
  40. 977 rem 90

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