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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 793 · 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. 1.9898 ÷ 8 =
  2. 2.37770 ÷ 88 =
  3. 3.488734 ÷ 988 =
  4. 4.7838 ÷ 8 =
  5. 5.17881 ÷ 98 =
  6. 6.33516 ÷ 97 =
  7. 7.715024 ÷ 989 =
  8. 8.25154 ÷ 97 =
  9. 9.494500 ÷ 997 =
  10. 10.21038 ÷ 89 =
  11. 11.73336 ÷ 98 =
  12. 12.78342 ÷ 96 =
  13. 13.69643 ÷ 89 =
  14. 14.23154 ÷ 97 =
  15. 15.5924 ÷ 88 =
  16. 16.505248 ÷ 989 =
  17. 17.355333 ÷ 998 =
  18. 18.9407 ÷ 8 =
  19. 19.18529 ÷ 98 =
  20. 20.69008 ÷ 97 =
  21. 21.464341 ÷ 997 =
  22. 22.8066 ÷ 8 =
  23. 23.90183 ÷ 97 =
  24. 24.3372 ÷ 98 =
  25. 25.6389 ÷ 8 =
  26. 26.32099 ÷ 97 =
  27. 27.21514 ÷ 97 =
  28. 28.84295 ÷ 88 =
  29. 29.95664 ÷ 97 =
  30. 30.35009 ÷ 98 =
  31. 31.58995 ÷ 989 =
  32. 32.83612 ÷ 88 =
  33. 33.69561 ÷ 89 =
  34. 34.32230 ÷ 96 =
  35. 35.229055 ÷ 997 =
  36. 36.58065 ÷ 97 =
  37. 37.816168 ÷ 998 =
  38. 38.675625 ÷ 988 =
  39. 39.258081 ÷ 989 =
  40. 40.75979 ÷ 96 =

Answer key

  1. 1237 rem 2
  2. 429 rem 18
  3. 494 rem 662
  4. 979 rem 6
  5. 182 rem 45
  6. 345 rem 51
  7. 722 rem 966
  8. 259 rem 31
  9. 495 rem 985
  10. 236 rem 34
  11. 748 rem 32
  12. 816 rem 6
  13. 782 rem 45
  14. 238 rem 68
  15. 67 rem 28
  16. 510 rem 858
  17. 356 rem 45
  18. 1175 rem 7
  19. 189 rem 7
  20. 711 rem 41
  21. 465 rem 736
  22. 1008 rem 2
  23. 929 rem 70
  24. 34 rem 40
  25. 798 rem 5
  26. 330 rem 89
  27. 221 rem 77
  28. 957 rem 79
  29. 986 rem 22
  30. 357 rem 23
  31. 59 rem 644
  32. 950 rem 12
  33. 781 rem 52
  34. 335 rem 70
  35. 229 rem 742
  36. 598 rem 59
  37. 817 rem 802
  38. 683 rem 821
  39. 260 rem 941
  40. 791 rem 43

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