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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 979 · 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. 1.574 ÷ 8 =
  2. 2.577857 ÷ 988 =
  3. 3.536589 ÷ 989 =
  4. 4.65956 ÷ 88 =
  5. 5.99355 ÷ 96 =
  6. 6.897107 ÷ 997 =
  7. 7.526678 ÷ 989 =
  8. 8.950857 ÷ 997 =
  9. 9.510328 ÷ 897 =
  10. 10.36766 ÷ 96 =
  11. 11.930485 ÷ 989 =
  12. 12.497190 ÷ 897 =
  13. 13.20893 ÷ 98 =
  14. 14.91878 ÷ 97 =
  15. 15.14790 ÷ 89 =
  16. 16.1163 ÷ 98 =
  17. 17.83023 ÷ 89 =
  18. 18.59604 ÷ 89 =
  19. 19.27470 ÷ 98 =
  20. 20.12689 ÷ 96 =
  21. 21.957818 ÷ 997 =
  22. 22.12860 ÷ 96 =
  23. 23.42806 ÷ 96 =
  24. 24.52270 ÷ 97 =
  25. 25.22849 ÷ 89 =
  26. 26.941522 ÷ 998 =
  27. 27.24732 ÷ 96 =
  28. 28.157785 ÷ 997 =
  29. 29.940344 ÷ 989 =
  30. 30.59368 ÷ 98 =
  31. 31.35027 ÷ 96 =
  32. 32.103459 ÷ 988 =
  33. 33.49138 ÷ 88 =
  34. 34.5838 ÷ 8 =
  35. 35.982999 ÷ 998 =
  36. 36.124001 ÷ 988 =
  37. 37.988234 ÷ 897 =
  38. 38.77355 ÷ 98 =
  39. 39.761513 ÷ 988 =
  40. 40.16835 ÷ 97 =

Answer key

  1. 71 rem 6
  2. 584 rem 865
  3. 542 rem 551
  4. 749 rem 44
  5. 1034 rem 91
  6. 899 rem 804
  7. 532 rem 530
  8. 953 rem 716
  9. 568 rem 832
  10. 382 rem 94
  11. 940 rem 825
  12. 554 rem 252
  13. 213 rem 19
  14. 947 rem 19
  15. 166 rem 16
  16. 11 rem 85
  17. 932 rem 75
  18. 669 rem 63
  19. 280 rem 30
  20. 132 rem 17
  21. 960 rem 698
  22. 133 rem 92
  23. 445 rem 86
  24. 538 rem 84
  25. 256 rem 65
  26. 943 rem 408
  27. 257 rem 60
  28. 158 rem 259
  29. 950 rem 794
  30. 605 rem 78
  31. 364 rem 83
  32. 104 rem 707
  33. 558 rem 34
  34. 729 rem 6
  35. 984 rem 967
  36. 125 rem 501
  37. 1101 rem 637
  38. 789 rem 33
  39. 770 rem 753
  40. 173 rem 54

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