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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 929 · 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. 1.24098 ÷ 88 =
  2. 2.879922 ÷ 897 =
  3. 3.81886 ÷ 89 =
  4. 4.85987 ÷ 97 =
  5. 5.34465 ÷ 88 =
  6. 6.705520 ÷ 989 =
  7. 7.962917 ÷ 998 =
  8. 8.27482 ÷ 98 =
  9. 9.13821 ÷ 98 =
  10. 10.195810 ÷ 998 =
  11. 11.78809 ÷ 98 =
  12. 12.2256 ÷ 96 =
  13. 13.32598 ÷ 89 =
  14. 14.205987 ÷ 998 =
  15. 15.2429 ÷ 98 =
  16. 16.56569 ÷ 88 =
  17. 17.23520 ÷ 96 =
  18. 18.371330 ÷ 989 =
  19. 19.2701 ÷ 8 =
  20. 20.94056 ÷ 96 =
  21. 21.127809 ÷ 988 =
  22. 22.474272 ÷ 897 =
  23. 23.86807 ÷ 88 =
  24. 24.46375 ÷ 96 =
  25. 25.214651 ÷ 989 =
  26. 26.866026 ÷ 997 =
  27. 27.9636 ÷ 97 =
  28. 28.84967 ÷ 89 =
  29. 29.88285 ÷ 97 =
  30. 30.90167 ÷ 96 =
  31. 31.89927 ÷ 988 =
  32. 32.82233 ÷ 96 =
  33. 33.409059 ÷ 998 =
  34. 34.823338 ÷ 988 =
  35. 35.87021 ÷ 98 =
  36. 36.83968 ÷ 98 =
  37. 37.15278 ÷ 97 =
  38. 38.653349 ÷ 988 =
  39. 39.7066 ÷ 8 =
  40. 40.28641 ÷ 998 =

Answer key

  1. 273 rem 74
  2. 980 rem 862
  3. 920 rem 6
  4. 886 rem 45
  5. 391 rem 57
  6. 713 rem 363
  7. 964 rem 845
  8. 280 rem 42
  9. 141 rem 3
  10. 196 rem 202
  11. 804 rem 17
  12. 23 rem 48
  13. 366 rem 24
  14. 206 rem 399
  15. 24 rem 77
  16. 642 rem 73
  17. 245 rem 0
  18. 375 rem 455
  19. 337 rem 5
  20. 979 rem 72
  21. 129 rem 357
  22. 528 rem 656
  23. 986 rem 39
  24. 483 rem 7
  25. 217 rem 38
  26. 868 rem 630
  27. 99 rem 33
  28. 954 rem 61
  29. 910 rem 15
  30. 939 rem 23
  31. 91 rem 19
  32. 856 rem 57
  33. 409 rem 877
  34. 833 rem 334
  35. 887 rem 95
  36. 856 rem 80
  37. 157 rem 49
  38. 661 rem 281
  39. 883 rem 2
  40. 28 rem 697

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