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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 225 · 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. 1.92273 ÷ 97 =
  2. 2.642016 ÷ 989 =
  3. 3.408680 ÷ 997 =
  4. 4.2944 ÷ 8 =
  5. 5.58110 ÷ 96 =
  6. 6.14508 ÷ 98 =
  7. 7.7122 ÷ 88 =
  8. 8.16856 ÷ 98 =
  9. 9.109359 ÷ 989 =
  10. 10.66179 ÷ 97 =
  11. 11.80635 ÷ 97 =
  12. 12.82988 ÷ 89 =
  13. 13.51612 ÷ 97 =
  14. 14.31867 ÷ 97 =
  15. 15.42153 ÷ 97 =
  16. 16.23883 ÷ 98 =
  17. 17.138057 ÷ 997 =
  18. 18.87050 ÷ 96 =
  19. 19.10226 ÷ 97 =
  20. 20.423175 ÷ 988 =
  21. 21.906845 ÷ 998 =
  22. 22.394637 ÷ 988 =
  23. 23.353713 ÷ 988 =
  24. 24.44519 ÷ 98 =
  25. 25.70854 ÷ 988 =
  26. 26.776898 ÷ 897 =
  27. 27.458569 ÷ 997 =
  28. 28.931817 ÷ 998 =
  29. 29.913618 ÷ 998 =
  30. 30.80323 ÷ 897 =
  31. 31.642031 ÷ 998 =
  32. 32.976263 ÷ 997 =
  33. 33.78993 ÷ 88 =
  34. 34.729650 ÷ 997 =
  35. 35.34860 ÷ 997 =
  36. 36.3904 ÷ 8 =
  37. 37.5087 ÷ 89 =
  38. 38.17299 ÷ 98 =
  39. 39.144018 ÷ 989 =
  40. 40.5754 ÷ 8 =

Answer key

  1. 951 rem 26
  2. 649 rem 155
  3. 409 rem 907
  4. 368 rem 0
  5. 605 rem 30
  6. 148 rem 4
  7. 80 rem 82
  8. 172 rem 0
  9. 110 rem 569
  10. 682 rem 25
  11. 831 rem 28
  12. 932 rem 40
  13. 532 rem 8
  14. 328 rem 51
  15. 434 rem 55
  16. 243 rem 69
  17. 138 rem 471
  18. 906 rem 74
  19. 105 rem 41
  20. 428 rem 311
  21. 908 rem 661
  22. 399 rem 425
  23. 358 rem 9
  24. 454 rem 27
  25. 71 rem 706
  26. 866 rem 96
  27. 459 rem 946
  28. 933 rem 683
  29. 915 rem 448
  30. 89 rem 490
  31. 643 rem 317
  32. 979 rem 200
  33. 897 rem 57
  34. 731 rem 843
  35. 34 rem 962
  36. 488 rem 0
  37. 57 rem 14
  38. 176 rem 51
  39. 145 rem 613
  40. 719 rem 2

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