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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 206 · 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. 1.7895 ÷ 8 =
  2. 2.14166 ÷ 88 =
  3. 3.3162 ÷ 98 =
  4. 4.15185 ÷ 98 =
  5. 5.16177 ÷ 97 =
  6. 6.932063 ÷ 997 =
  7. 7.51073 ÷ 98 =
  8. 8.45428 ÷ 988 =
  9. 9.622825 ÷ 998 =
  10. 10.461058 ÷ 897 =
  11. 11.38873 ÷ 98 =
  12. 12.35298 ÷ 88 =
  13. 13.27640 ÷ 97 =
  14. 14.468521 ÷ 897 =
  15. 15.11391 ÷ 998 =
  16. 16.537874 ÷ 989 =
  17. 17.10082 ÷ 88 =
  18. 18.653882 ÷ 988 =
  19. 19.336477 ÷ 988 =
  20. 20.74028 ÷ 89 =
  21. 21.29457 ÷ 89 =
  22. 22.34298 ÷ 98 =
  23. 23.1699 ÷ 8 =
  24. 24.6166 ÷ 97 =
  25. 25.673778 ÷ 997 =
  26. 26.987037 ÷ 989 =
  27. 27.16361 ÷ 97 =
  28. 28.233093 ÷ 988 =
  29. 29.569303 ÷ 997 =
  30. 30.861514 ÷ 988 =
  31. 31.64330 ÷ 98 =
  32. 32.1421 ÷ 8 =
  33. 33.12003 ÷ 97 =
  34. 34.6085 ÷ 8 =
  35. 35.41421 ÷ 96 =
  36. 36.64875 ÷ 89 =
  37. 37.75759 ÷ 98 =
  38. 38.82619 ÷ 96 =
  39. 39.54370 ÷ 97 =
  40. 40.19880 ÷ 98 =

Answer key

  1. 986 rem 7
  2. 160 rem 86
  3. 32 rem 26
  4. 154 rem 93
  5. 166 rem 75
  6. 934 rem 865
  7. 521 rem 15
  8. 45 rem 968
  9. 624 rem 73
  10. 514 rem 0
  11. 396 rem 65
  12. 401 rem 10
  13. 284 rem 92
  14. 522 rem 287
  15. 11 rem 413
  16. 543 rem 847
  17. 114 rem 50
  18. 661 rem 814
  19. 340 rem 557
  20. 831 rem 69
  21. 330 rem 87
  22. 349 rem 96
  23. 212 rem 3
  24. 63 rem 55
  25. 675 rem 803
  26. 998 rem 15
  27. 168 rem 65
  28. 235 rem 913
  29. 571 rem 16
  30. 871 rem 966
  31. 656 rem 42
  32. 177 rem 5
  33. 123 rem 72
  34. 760 rem 5
  35. 431 rem 45
  36. 728 rem 83
  37. 773 rem 5
  38. 860 rem 59
  39. 560 rem 50
  40. 202 rem 84

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