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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 503 · 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. 1.3079 ÷ 97 =
  2. 2.93179 ÷ 97 =
  3. 3.83031 ÷ 98 =
  4. 4.106666 ÷ 997 =
  5. 5.93123 ÷ 998 =
  6. 6.14788 ÷ 88 =
  7. 7.95226 ÷ 88 =
  8. 8.169269 ÷ 897 =
  9. 9.38967 ÷ 98 =
  10. 10.5684 ÷ 8 =
  11. 11.956584 ÷ 998 =
  12. 12.63812 ÷ 98 =
  13. 13.91345 ÷ 97 =
  14. 14.37116 ÷ 88 =
  15. 15.50983 ÷ 97 =
  16. 16.82001 ÷ 97 =
  17. 17.72174 ÷ 997 =
  18. 18.86948 ÷ 96 =
  19. 19.917894 ÷ 988 =
  20. 20.55520 ÷ 989 =
  21. 21.295906 ÷ 997 =
  22. 22.44777 ÷ 98 =
  23. 23.991108 ÷ 988 =
  24. 24.95913 ÷ 89 =
  25. 25.39400 ÷ 97 =
  26. 26.702012 ÷ 997 =
  27. 27.80064 ÷ 97 =
  28. 28.46238 ÷ 89 =
  29. 29.7240 ÷ 8 =
  30. 30.293816 ÷ 897 =
  31. 31.80648 ÷ 88 =
  32. 32.565623 ÷ 988 =
  33. 33.90233 ÷ 96 =
  34. 34.861211 ÷ 998 =
  35. 35.20707 ÷ 98 =
  36. 36.74951 ÷ 97 =
  37. 37.921759 ÷ 998 =
  38. 38.64294 ÷ 89 =
  39. 39.58647 ÷ 96 =
  40. 40.82099 ÷ 97 =

Answer key

  1. 31 rem 72
  2. 960 rem 59
  3. 847 rem 25
  4. 106 rem 984
  5. 93 rem 309
  6. 168 rem 4
  7. 1082 rem 10
  8. 188 rem 633
  9. 397 rem 61
  10. 710 rem 4
  11. 958 rem 500
  12. 651 rem 14
  13. 941 rem 68
  14. 421 rem 68
  15. 525 rem 58
  16. 845 rem 36
  17. 72 rem 390
  18. 905 rem 68
  19. 929 rem 42
  20. 56 rem 136
  21. 296 rem 794
  22. 456 rem 89
  23. 1003 rem 144
  24. 1077 rem 60
  25. 406 rem 18
  26. 704 rem 124
  27. 825 rem 39
  28. 519 rem 47
  29. 905 rem 0
  30. 327 rem 497
  31. 916 rem 40
  32. 572 rem 487
  33. 939 rem 89
  34. 862 rem 935
  35. 211 rem 29
  36. 772 rem 67
  37. 923 rem 605
  38. 722 rem 36
  39. 610 rem 87
  40. 846 rem 37

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