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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 771 · 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. 1.822501 ÷ 998 =
  2. 2.9228 ÷ 8 =
  3. 3.999922 ÷ 897 =
  4. 4.466366 ÷ 997 =
  5. 5.40125 ÷ 96 =
  6. 6.77350 ÷ 89 =
  7. 7.99759 ÷ 89 =
  8. 8.971355 ÷ 997 =
  9. 9.919909 ÷ 997 =
  10. 10.997162 ÷ 997 =
  11. 11.32244 ÷ 98 =
  12. 12.60115 ÷ 97 =
  13. 13.209952 ÷ 897 =
  14. 14.29897 ÷ 96 =
  15. 15.21428 ÷ 98 =
  16. 16.99272 ÷ 89 =
  17. 17.1237 ÷ 8 =
  18. 18.67535 ÷ 96 =
  19. 19.21300 ÷ 98 =
  20. 20.930912 ÷ 989 =
  21. 21.87836 ÷ 88 =
  22. 22.70047 ÷ 997 =
  23. 23.31437 ÷ 98 =
  24. 24.8151 ÷ 8 =
  25. 25.1089 ÷ 98 =
  26. 26.120574 ÷ 997 =
  27. 27.99099 ÷ 88 =
  28. 28.580800 ÷ 988 =
  29. 29.73190 ÷ 89 =
  30. 30.62762 ÷ 98 =
  31. 31.229374 ÷ 988 =
  32. 32.96713 ÷ 89 =
  33. 33.34965 ÷ 97 =
  34. 34.19304 ÷ 88 =
  35. 35.58678 ÷ 89 =
  36. 36.641043 ÷ 997 =
  37. 37.24228 ÷ 97 =
  38. 38.80100 ÷ 98 =
  39. 39.7042 ÷ 98 =
  40. 40.202201 ÷ 997 =

Answer key

  1. 824 rem 149
  2. 1153 rem 4
  3. 1114 rem 664
  4. 467 rem 767
  5. 417 rem 93
  6. 869 rem 9
  7. 1120 rem 79
  8. 974 rem 277
  9. 922 rem 675
  10. 1000 rem 162
  11. 329 rem 2
  12. 619 rem 72
  13. 234 rem 54
  14. 311 rem 41
  15. 218 rem 64
  16. 1115 rem 37
  17. 154 rem 5
  18. 703 rem 47
  19. 217 rem 34
  20. 941 rem 263
  21. 998 rem 12
  22. 70 rem 257
  23. 320 rem 77
  24. 1018 rem 7
  25. 11 rem 11
  26. 120 rem 934
  27. 1126 rem 11
  28. 587 rem 844
  29. 822 rem 32
  30. 640 rem 42
  31. 232 rem 158
  32. 1086 rem 59
  33. 360 rem 45
  34. 219 rem 32
  35. 659 rem 27
  36. 642 rem 969
  37. 249 rem 75
  38. 817 rem 34
  39. 71 rem 84
  40. 202 rem 807

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