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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 292 · 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. 1.646989 ÷ 998 =
  2. 2.35727 ÷ 97 =
  3. 3.308746 ÷ 998 =
  4. 4.626991 ÷ 897 =
  5. 5.20222 ÷ 88 =
  6. 6.85945 ÷ 88 =
  7. 7.34195 ÷ 89 =
  8. 8.6189 ÷ 8 =
  9. 9.21961 ÷ 88 =
  10. 10.626760 ÷ 988 =
  11. 11.24631 ÷ 98 =
  12. 12.619805 ÷ 897 =
  13. 13.179 ÷ 8 =
  14. 14.9625 ÷ 8 =
  15. 15.65849 ÷ 96 =
  16. 16.3597 ÷ 8 =
  17. 17.1025 ÷ 8 =
  18. 18.72732 ÷ 97 =
  19. 19.78207 ÷ 98 =
  20. 20.172305 ÷ 989 =
  21. 21.786923 ÷ 989 =
  22. 22.78812 ÷ 988 =
  23. 23.18647 ÷ 96 =
  24. 24.6560 ÷ 8 =
  25. 25.58045 ÷ 89 =
  26. 26.922825 ÷ 998 =
  27. 27.482175 ÷ 997 =
  28. 28.689126 ÷ 998 =
  29. 29.10618 ÷ 89 =
  30. 30.25706 ÷ 96 =
  31. 31.54554 ÷ 97 =
  32. 32.863810 ÷ 988 =
  33. 33.1531 ÷ 8 =
  34. 34.292241 ÷ 897 =
  35. 35.46750 ÷ 98 =
  36. 36.502602 ÷ 997 =
  37. 37.74404 ÷ 89 =
  38. 38.9777 ÷ 8 =
  39. 39.391919 ÷ 989 =
  40. 40.9857 ÷ 97 =

Answer key

  1. 648 rem 285
  2. 368 rem 31
  3. 309 rem 364
  4. 698 rem 885
  5. 229 rem 70
  6. 976 rem 57
  7. 384 rem 19
  8. 773 rem 5
  9. 249 rem 49
  10. 634 rem 368
  11. 251 rem 33
  12. 690 rem 875
  13. 22 rem 3
  14. 1203 rem 1
  15. 685 rem 89
  16. 449 rem 5
  17. 128 rem 1
  18. 749 rem 79
  19. 798 rem 3
  20. 174 rem 219
  21. 795 rem 668
  22. 79 rem 760
  23. 194 rem 23
  24. 820 rem 0
  25. 652 rem 17
  26. 924 rem 673
  27. 483 rem 624
  28. 690 rem 506
  29. 119 rem 27
  30. 267 rem 74
  31. 562 rem 40
  32. 874 rem 298
  33. 191 rem 3
  34. 325 rem 716
  35. 477 rem 4
  36. 504 rem 114
  37. 836 rem 0
  38. 1222 rem 1
  39. 396 rem 275
  40. 101 rem 60

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