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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 724 · 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. 1.50463 ÷ 998 =
  2. 2.5392 ÷ 88 =
  3. 3.234915 ÷ 897 =
  4. 4.98913 ÷ 88 =
  5. 5.48309 ÷ 97 =
  6. 6.74159 ÷ 98 =
  7. 7.60290 ÷ 88 =
  8. 8.37131 ÷ 998 =
  9. 9.4365 ÷ 8 =
  10. 10.90848 ÷ 96 =
  11. 11.69716 ÷ 89 =
  12. 12.2115 ÷ 8 =
  13. 13.28109 ÷ 98 =
  14. 14.19838 ÷ 98 =
  15. 15.2361 ÷ 8 =
  16. 16.976406 ÷ 997 =
  17. 17.96392 ÷ 98 =
  18. 18.91677 ÷ 88 =
  19. 19.791228 ÷ 998 =
  20. 20.82871 ÷ 988 =
  21. 21.801170 ÷ 897 =
  22. 22.78956 ÷ 97 =
  23. 23.48115 ÷ 989 =
  24. 24.44199 ÷ 88 =
  25. 25.155685 ÷ 998 =
  26. 26.6250 ÷ 8 =
  27. 27.172388 ÷ 997 =
  28. 28.486464 ÷ 988 =
  29. 29.825012 ÷ 988 =
  30. 30.2643 ÷ 98 =
  31. 31.721886 ÷ 897 =
  32. 32.82308 ÷ 96 =
  33. 33.3748 ÷ 8 =
  34. 34.90705 ÷ 89 =
  35. 35.77551 ÷ 96 =
  36. 36.18345 ÷ 98 =
  37. 37.475172 ÷ 997 =
  38. 38.147992 ÷ 897 =
  39. 39.911989 ÷ 897 =
  40. 40.74253 ÷ 96 =

Answer key

  1. 50 rem 563
  2. 61 rem 24
  3. 261 rem 798
  4. 1124 rem 1
  5. 498 rem 3
  6. 756 rem 71
  7. 685 rem 10
  8. 37 rem 205
  9. 545 rem 5
  10. 946 rem 32
  11. 783 rem 29
  12. 264 rem 3
  13. 286 rem 81
  14. 202 rem 42
  15. 295 rem 1
  16. 979 rem 343
  17. 983 rem 58
  18. 1041 rem 69
  19. 792 rem 812
  20. 83 rem 867
  21. 893 rem 149
  22. 813 rem 95
  23. 48 rem 643
  24. 502 rem 23
  25. 155 rem 995
  26. 781 rem 2
  27. 172 rem 904
  28. 492 rem 368
  29. 835 rem 32
  30. 26 rem 95
  31. 804 rem 698
  32. 857 rem 36
  33. 468 rem 4
  34. 1019 rem 14
  35. 807 rem 79
  36. 187 rem 19
  37. 476 rem 600
  38. 164 rem 884
  39. 1016 rem 637
  40. 773 rem 45

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