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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 144 · 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. 1.5674 ÷ 8 =
  2. 2.881113 ÷ 989 =
  3. 3.6796 ÷ 8 =
  4. 4.500815 ÷ 989 =
  5. 5.10409 ÷ 97 =
  6. 6.656699 ÷ 988 =
  7. 7.97791 ÷ 96 =
  8. 8.59908 ÷ 88 =
  9. 9.29163 ÷ 97 =
  10. 10.93476 ÷ 96 =
  11. 11.79234 ÷ 89 =
  12. 12.63858 ÷ 98 =
  13. 13.64820 ÷ 96 =
  14. 14.948223 ÷ 897 =
  15. 15.53713 ÷ 988 =
  16. 16.345863 ÷ 989 =
  17. 17.9131 ÷ 8 =
  18. 18.923132 ÷ 897 =
  19. 19.95448 ÷ 897 =
  20. 20.84354 ÷ 98 =
  21. 21.71454 ÷ 998 =
  22. 22.269196 ÷ 989 =
  23. 23.53540 ÷ 97 =
  24. 24.7973 ÷ 8 =
  25. 25.33474 ÷ 897 =
  26. 26.983829 ÷ 998 =
  27. 27.782565 ÷ 998 =
  28. 28.4967 ÷ 8 =
  29. 29.299443 ÷ 989 =
  30. 30.4008 ÷ 8 =
  31. 31.56435 ÷ 97 =
  32. 32.9527 ÷ 98 =
  33. 33.33322 ÷ 98 =
  34. 34.19172 ÷ 989 =
  35. 35.44253 ÷ 88 =
  36. 36.511879 ÷ 988 =
  37. 37.2105 ÷ 96 =
  38. 38.27995 ÷ 96 =
  39. 39.85649 ÷ 96 =
  40. 40.92545 ÷ 88 =

Answer key

  1. 709 rem 2
  2. 890 rem 903
  3. 849 rem 4
  4. 506 rem 381
  5. 107 rem 30
  6. 664 rem 667
  7. 1018 rem 63
  8. 680 rem 68
  9. 300 rem 63
  10. 973 rem 68
  11. 890 rem 24
  12. 651 rem 60
  13. 675 rem 20
  14. 1057 rem 94
  15. 54 rem 361
  16. 349 rem 702
  17. 1141 rem 3
  18. 1029 rem 119
  19. 106 rem 366
  20. 860 rem 74
  21. 71 rem 596
  22. 272 rem 188
  23. 551 rem 93
  24. 996 rem 5
  25. 37 rem 285
  26. 985 rem 799
  27. 784 rem 133
  28. 620 rem 7
  29. 302 rem 765
  30. 501 rem 0
  31. 581 rem 78
  32. 97 rem 21
  33. 340 rem 2
  34. 19 rem 381
  35. 502 rem 77
  36. 518 rem 95
  37. 21 rem 89
  38. 291 rem 59
  39. 892 rem 17
  40. 1051 rem 57

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