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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 970 · 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. 1.15977 ÷ 97 =
  2. 2.607999 ÷ 989 =
  3. 3.69184 ÷ 89 =
  4. 4.674168 ÷ 989 =
  5. 5.323555 ÷ 998 =
  6. 6.336129 ÷ 998 =
  7. 7.46462 ÷ 96 =
  8. 8.6728 ÷ 98 =
  9. 9.11041 ÷ 96 =
  10. 10.69207 ÷ 98 =
  11. 11.59929 ÷ 97 =
  12. 12.23655 ÷ 89 =
  13. 13.63661 ÷ 96 =
  14. 14.43952 ÷ 89 =
  15. 15.1732 ÷ 96 =
  16. 16.2443 ÷ 8 =
  17. 17.4995 ÷ 8 =
  18. 18.768484 ÷ 989 =
  19. 19.71249 ÷ 88 =
  20. 20.68279 ÷ 96 =
  21. 21.35364 ÷ 89 =
  22. 22.14066 ÷ 96 =
  23. 23.263321 ÷ 988 =
  24. 24.8028 ÷ 8 =
  25. 25.66537 ÷ 88 =
  26. 26.93820 ÷ 97 =
  27. 27.69275 ÷ 89 =
  28. 28.294932 ÷ 988 =
  29. 29.27844 ÷ 96 =
  30. 30.812923 ÷ 998 =
  31. 31.344808 ÷ 988 =
  32. 32.29117 ÷ 97 =
  33. 33.1803 ÷ 8 =
  34. 34.7265 ÷ 8 =
  35. 35.52626 ÷ 96 =
  36. 36.68576 ÷ 97 =
  37. 37.15087 ÷ 98 =
  38. 38.1104 ÷ 8 =
  39. 39.347279 ÷ 989 =
  40. 40.709747 ÷ 997 =

Answer key

  1. 164 rem 69
  2. 614 rem 753
  3. 777 rem 31
  4. 681 rem 659
  5. 324 rem 203
  6. 336 rem 801
  7. 483 rem 94
  8. 68 rem 64
  9. 115 rem 1
  10. 706 rem 19
  11. 617 rem 80
  12. 265 rem 70
  13. 663 rem 13
  14. 493 rem 75
  15. 18 rem 4
  16. 305 rem 3
  17. 624 rem 3
  18. 777 rem 31
  19. 809 rem 57
  20. 711 rem 23
  21. 397 rem 31
  22. 146 rem 50
  23. 266 rem 513
  24. 1003 rem 4
  25. 756 rem 9
  26. 967 rem 21
  27. 778 rem 33
  28. 298 rem 508
  29. 290 rem 4
  30. 814 rem 551
  31. 348 rem 984
  32. 300 rem 17
  33. 225 rem 3
  34. 908 rem 1
  35. 548 rem 18
  36. 706 rem 94
  37. 153 rem 93
  38. 138 rem 0
  39. 351 rem 140
  40. 711 rem 880

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