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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 87 · 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. 1.855695 ÷ 997 =
  2. 2.3803 ÷ 8 =
  3. 3.2634 ÷ 8 =
  4. 4.225073 ÷ 997 =
  5. 5.40287 ÷ 97 =
  6. 6.440861 ÷ 989 =
  7. 7.379388 ÷ 897 =
  8. 8.6615 ÷ 8 =
  9. 9.5955 ÷ 8 =
  10. 10.38613 ÷ 89 =
  11. 11.546541 ÷ 988 =
  12. 12.4840 ÷ 8 =
  13. 13.617473 ÷ 989 =
  14. 14.78496 ÷ 89 =
  15. 15.517270 ÷ 997 =
  16. 16.856554 ÷ 998 =
  17. 17.72340 ÷ 98 =
  18. 18.94492 ÷ 96 =
  19. 19.166618 ÷ 897 =
  20. 20.590816 ÷ 997 =
  21. 21.143887 ÷ 989 =
  22. 22.444275 ÷ 997 =
  23. 23.503746 ÷ 997 =
  24. 24.96116 ÷ 96 =
  25. 25.13616 ÷ 97 =
  26. 26.44400 ÷ 97 =
  27. 27.91803 ÷ 97 =
  28. 28.68956 ÷ 88 =
  29. 29.296568 ÷ 989 =
  30. 30.42752 ÷ 96 =
  31. 31.772509 ÷ 998 =
  32. 32.113147 ÷ 997 =
  33. 33.2544 ÷ 8 =
  34. 34.282992 ÷ 997 =
  35. 35.463920 ÷ 989 =
  36. 36.99541 ÷ 96 =
  37. 37.31362 ÷ 97 =
  38. 38.62896 ÷ 89 =
  39. 39.420378 ÷ 998 =
  40. 40.744733 ÷ 988 =

Answer key

  1. 858 rem 269
  2. 475 rem 3
  3. 329 rem 2
  4. 225 rem 748
  5. 415 rem 32
  6. 445 rem 756
  7. 422 rem 854
  8. 826 rem 7
  9. 744 rem 3
  10. 433 rem 76
  11. 553 rem 177
  12. 605 rem 0
  13. 624 rem 337
  14. 881 rem 87
  15. 518 rem 824
  16. 858 rem 270
  17. 738 rem 16
  18. 984 rem 28
  19. 185 rem 673
  20. 592 rem 592
  21. 145 rem 482
  22. 445 rem 610
  23. 505 rem 261
  24. 1001 rem 20
  25. 140 rem 36
  26. 457 rem 71
  27. 946 rem 41
  28. 783 rem 52
  29. 299 rem 857
  30. 445 rem 32
  31. 774 rem 57
  32. 113 rem 486
  33. 318 rem 0
  34. 283 rem 841
  35. 469 rem 79
  36. 1036 rem 85
  37. 323 rem 31
  38. 706 rem 62
  39. 421 rem 220
  40. 753 rem 769

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