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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 808 · 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. 1.608 ÷ 8 =
  2. 2.354820 ÷ 989 =
  3. 3.127621 ÷ 988 =
  4. 4.248140 ÷ 989 =
  5. 5.91136 ÷ 98 =
  6. 6.232717 ÷ 997 =
  7. 7.77978 ÷ 98 =
  8. 8.240987 ÷ 997 =
  9. 9.93495 ÷ 88 =
  10. 10.5610 ÷ 98 =
  11. 11.711626 ÷ 989 =
  12. 12.43902 ÷ 97 =
  13. 13.1792 ÷ 88 =
  14. 14.56206 ÷ 97 =
  15. 15.6327 ÷ 8 =
  16. 16.2679 ÷ 97 =
  17. 17.3343 ÷ 8 =
  18. 18.61989 ÷ 96 =
  19. 19.879667 ÷ 989 =
  20. 20.603992 ÷ 998 =
  21. 21.294982 ÷ 989 =
  22. 22.37942 ÷ 88 =
  23. 23.68038 ÷ 988 =
  24. 24.68420 ÷ 89 =
  25. 25.8493 ÷ 97 =
  26. 26.908597 ÷ 988 =
  27. 27.86009 ÷ 97 =
  28. 28.529169 ÷ 897 =
  29. 29.94476 ÷ 96 =
  30. 30.20121 ÷ 88 =
  31. 31.5567 ÷ 96 =
  32. 32.93390 ÷ 97 =
  33. 33.5817 ÷ 97 =
  34. 34.94724 ÷ 97 =
  35. 35.25327 ÷ 98 =
  36. 36.17553 ÷ 88 =
  37. 37.4270 ÷ 8 =
  38. 38.78627 ÷ 989 =
  39. 39.867536 ÷ 897 =
  40. 40.1256 ÷ 8 =

Answer key

  1. 76 rem 0
  2. 358 rem 758
  3. 129 rem 169
  4. 250 rem 890
  5. 929 rem 94
  6. 233 rem 416
  7. 795 rem 68
  8. 241 rem 710
  9. 1062 rem 39
  10. 57 rem 24
  11. 719 rem 535
  12. 452 rem 58
  13. 20 rem 32
  14. 579 rem 43
  15. 790 rem 7
  16. 27 rem 60
  17. 417 rem 7
  18. 645 rem 69
  19. 889 rem 446
  20. 605 rem 202
  21. 298 rem 260
  22. 431 rem 14
  23. 68 rem 854
  24. 768 rem 68
  25. 87 rem 54
  26. 919 rem 625
  27. 886 rem 67
  28. 589 rem 836
  29. 984 rem 12
  30. 228 rem 57
  31. 57 rem 95
  32. 962 rem 76
  33. 59 rem 94
  34. 976 rem 52
  35. 258 rem 43
  36. 199 rem 41
  37. 533 rem 6
  38. 79 rem 496
  39. 967 rem 137
  40. 157 rem 0

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