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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 782 · 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. 1.19664 ÷ 97 =
  2. 2.9079 ÷ 96 =
  3. 3.1205 ÷ 8 =
  4. 4.83702 ÷ 96 =
  5. 5.865986 ÷ 897 =
  6. 6.494336 ÷ 989 =
  7. 7.69638 ÷ 98 =
  8. 8.933408 ÷ 998 =
  9. 9.730151 ÷ 989 =
  10. 10.28596 ÷ 97 =
  11. 11.188911 ÷ 997 =
  12. 12.84868 ÷ 89 =
  13. 13.43874 ÷ 88 =
  14. 14.5376 ÷ 8 =
  15. 15.87732 ÷ 96 =
  16. 16.794876 ÷ 988 =
  17. 17.61736 ÷ 89 =
  18. 18.29228 ÷ 98 =
  19. 19.6656 ÷ 8 =
  20. 20.62353 ÷ 88 =
  21. 21.33441 ÷ 96 =
  22. 22.9271 ÷ 89 =
  23. 23.22122 ÷ 96 =
  24. 24.558465 ÷ 997 =
  25. 25.67976 ÷ 96 =
  26. 26.433732 ÷ 988 =
  27. 27.73698 ÷ 989 =
  28. 28.543778 ÷ 988 =
  29. 29.555427 ÷ 997 =
  30. 30.67613 ÷ 88 =
  31. 31.569585 ÷ 897 =
  32. 32.39861 ÷ 97 =
  33. 33.715568 ÷ 998 =
  34. 34.42270 ÷ 89 =
  35. 35.987349 ÷ 998 =
  36. 36.1493 ÷ 96 =
  37. 37.53906 ÷ 89 =
  38. 38.440810 ÷ 897 =
  39. 39.1448 ÷ 8 =
  40. 40.146242 ÷ 989 =

Answer key

  1. 202 rem 70
  2. 94 rem 55
  3. 150 rem 5
  4. 871 rem 86
  5. 965 rem 381
  6. 499 rem 825
  7. 710 rem 58
  8. 935 rem 278
  9. 738 rem 269
  10. 294 rem 78
  11. 189 rem 478
  12. 953 rem 51
  13. 498 rem 50
  14. 672 rem 0
  15. 913 rem 84
  16. 804 rem 524
  17. 693 rem 59
  18. 298 rem 24
  19. 832 rem 0
  20. 708 rem 49
  21. 348 rem 33
  22. 104 rem 15
  23. 230 rem 42
  24. 560 rem 145
  25. 708 rem 8
  26. 439 rem 0
  27. 74 rem 512
  28. 550 rem 378
  29. 557 rem 98
  30. 768 rem 29
  31. 634 rem 887
  32. 410 rem 91
  33. 717 rem 2
  34. 474 rem 84
  35. 989 rem 327
  36. 15 rem 53
  37. 605 rem 61
  38. 491 rem 383
  39. 181 rem 0
  40. 147 rem 859

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