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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 526 · 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. 1.102900 ÷ 998 =
  2. 2.2572 ÷ 8 =
  3. 3.10438 ÷ 88 =
  4. 4.63234 ÷ 98 =
  5. 5.109528 ÷ 997 =
  6. 6.265785 ÷ 998 =
  7. 7.73577 ÷ 97 =
  8. 8.68343 ÷ 98 =
  9. 9.47921 ÷ 88 =
  10. 10.2016 ÷ 8 =
  11. 11.912681 ÷ 988 =
  12. 12.72932 ÷ 989 =
  13. 13.170974 ÷ 897 =
  14. 14.87726 ÷ 89 =
  15. 15.96522 ÷ 96 =
  16. 16.41073 ÷ 89 =
  17. 17.5436 ÷ 8 =
  18. 18.163167 ÷ 989 =
  19. 19.257314 ÷ 997 =
  20. 20.79272 ÷ 998 =
  21. 21.45832 ÷ 96 =
  22. 22.358882 ÷ 989 =
  23. 23.29198 ÷ 88 =
  24. 24.701371 ÷ 998 =
  25. 25.2040 ÷ 8 =
  26. 26.916494 ÷ 988 =
  27. 27.98401 ÷ 97 =
  28. 28.94691 ÷ 88 =
  29. 29.56095 ÷ 88 =
  30. 30.3222 ÷ 98 =
  31. 31.20636 ÷ 897 =
  32. 32.593004 ÷ 989 =
  33. 33.35723 ÷ 97 =
  34. 34.349701 ÷ 897 =
  35. 35.57430 ÷ 997 =
  36. 36.116016 ÷ 997 =
  37. 37.41378 ÷ 96 =
  38. 38.903986 ÷ 989 =
  39. 39.2968 ÷ 8 =
  40. 40.207314 ÷ 989 =

Answer key

  1. 103 rem 106
  2. 321 rem 4
  3. 118 rem 54
  4. 645 rem 24
  5. 109 rem 855
  6. 266 rem 317
  7. 758 rem 51
  8. 697 rem 37
  9. 544 rem 49
  10. 252 rem 0
  11. 923 rem 757
  12. 73 rem 735
  13. 190 rem 544
  14. 985 rem 61
  15. 1005 rem 42
  16. 461 rem 44
  17. 679 rem 4
  18. 164 rem 971
  19. 258 rem 88
  20. 79 rem 430
  21. 477 rem 40
  22. 362 rem 864
  23. 331 rem 70
  24. 702 rem 775
  25. 255 rem 0
  26. 927 rem 618
  27. 1014 rem 43
  28. 1076 rem 3
  29. 637 rem 39
  30. 32 rem 86
  31. 23 rem 5
  32. 599 rem 593
  33. 368 rem 27
  34. 389 rem 768
  35. 57 rem 601
  36. 116 rem 364
  37. 431 rem 2
  38. 914 rem 40
  39. 371 rem 0
  40. 209 rem 613

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