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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 509 · 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. 1.6373 ÷ 8 =
  2. 2.40095 ÷ 88 =
  3. 3.72992 ÷ 97 =
  4. 4.444921 ÷ 989 =
  5. 5.817393 ÷ 989 =
  6. 6.83806 ÷ 96 =
  7. 7.905929 ÷ 988 =
  8. 8.482540 ÷ 997 =
  9. 9.50738 ÷ 96 =
  10. 10.865313 ÷ 989 =
  11. 11.96749 ÷ 89 =
  12. 12.46710 ÷ 98 =
  13. 13.797973 ÷ 897 =
  14. 14.315568 ÷ 897 =
  15. 15.8599 ÷ 8 =
  16. 16.4859 ÷ 98 =
  17. 17.717158 ÷ 988 =
  18. 18.98752 ÷ 89 =
  19. 19.947233 ÷ 997 =
  20. 20.30727 ÷ 88 =
  21. 21.7574 ÷ 97 =
  22. 22.92956 ÷ 96 =
  23. 23.30126 ÷ 96 =
  24. 24.23675 ÷ 89 =
  25. 25.18529 ÷ 96 =
  26. 26.47560 ÷ 98 =
  27. 27.968356 ÷ 897 =
  28. 28.798912 ÷ 989 =
  29. 29.4990 ÷ 8 =
  30. 30.928948 ÷ 897 =
  31. 31.67940 ÷ 97 =
  32. 32.76103 ÷ 997 =
  33. 33.85001 ÷ 96 =
  34. 34.64070 ÷ 97 =
  35. 35.700143 ÷ 998 =
  36. 36.49528 ÷ 997 =
  37. 37.76833 ÷ 89 =
  38. 38.919494 ÷ 998 =
  39. 39.76604 ÷ 98 =
  40. 40.296 ÷ 8 =

Answer key

  1. 796 rem 5
  2. 455 rem 55
  3. 752 rem 48
  4. 449 rem 860
  5. 826 rem 479
  6. 872 rem 94
  7. 916 rem 921
  8. 483 rem 989
  9. 528 rem 50
  10. 874 rem 927
  11. 1087 rem 6
  12. 476 rem 62
  13. 889 rem 540
  14. 351 rem 721
  15. 1074 rem 7
  16. 49 rem 57
  17. 725 rem 858
  18. 1109 rem 51
  19. 950 rem 83
  20. 349 rem 15
  21. 78 rem 8
  22. 968 rem 28
  23. 313 rem 78
  24. 266 rem 1
  25. 193 rem 1
  26. 485 rem 30
  27. 1079 rem 493
  28. 807 rem 789
  29. 623 rem 6
  30. 1035 rem 553
  31. 700 rem 40
  32. 76 rem 331
  33. 885 rem 41
  34. 660 rem 50
  35. 701 rem 545
  36. 49 rem 675
  37. 863 rem 26
  38. 921 rem 336
  39. 781 rem 66
  40. 37 rem 0

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