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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 761 · 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. 1.972315 ÷ 998 =
  2. 2.96225 ÷ 89 =
  3. 3.1065 ÷ 8 =
  4. 4.334165 ÷ 989 =
  5. 5.4305 ÷ 98 =
  6. 6.676213 ÷ 897 =
  7. 7.95984 ÷ 989 =
  8. 8.164603 ÷ 897 =
  9. 9.362203 ÷ 988 =
  10. 10.23666 ÷ 88 =
  11. 11.21979 ÷ 96 =
  12. 12.2343 ÷ 88 =
  13. 13.5074 ÷ 8 =
  14. 14.989798 ÷ 997 =
  15. 15.19743 ÷ 97 =
  16. 16.7321 ÷ 88 =
  17. 17.7251 ÷ 88 =
  18. 18.46094 ÷ 97 =
  19. 19.878917 ÷ 989 =
  20. 20.737285 ÷ 997 =
  21. 21.5809 ÷ 8 =
  22. 22.36174 ÷ 96 =
  23. 23.94231 ÷ 98 =
  24. 24.81125 ÷ 96 =
  25. 25.66350 ÷ 89 =
  26. 26.11807 ÷ 96 =
  27. 27.371374 ÷ 997 =
  28. 28.71458 ÷ 88 =
  29. 29.90567 ÷ 989 =
  30. 30.12396 ÷ 98 =
  31. 31.43337 ÷ 96 =
  32. 32.761334 ÷ 988 =
  33. 33.493020 ÷ 998 =
  34. 34.62088 ÷ 897 =
  35. 35.79389 ÷ 96 =
  36. 36.229543 ÷ 988 =
  37. 37.3061 ÷ 8 =
  38. 38.113842 ÷ 988 =
  39. 39.224552 ÷ 997 =
  40. 40.80292 ÷ 97 =

Answer key

  1. 974 rem 263
  2. 1081 rem 16
  3. 133 rem 1
  4. 337 rem 872
  5. 43 rem 91
  6. 753 rem 772
  7. 97 rem 51
  8. 183 rem 452
  9. 366 rem 595
  10. 268 rem 82
  11. 228 rem 91
  12. 26 rem 55
  13. 634 rem 2
  14. 992 rem 774
  15. 203 rem 52
  16. 83 rem 17
  17. 82 rem 35
  18. 475 rem 19
  19. 888 rem 685
  20. 739 rem 502
  21. 726 rem 1
  22. 376 rem 78
  23. 961 rem 53
  24. 845 rem 5
  25. 745 rem 45
  26. 122 rem 95
  27. 372 rem 490
  28. 812 rem 2
  29. 91 rem 568
  30. 126 rem 48
  31. 451 rem 41
  32. 770 rem 574
  33. 494 rem 8
  34. 69 rem 195
  35. 826 rem 93
  36. 232 rem 327
  37. 382 rem 5
  38. 115 rem 222
  39. 225 rem 227
  40. 827 rem 73

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