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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 378 · 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. 1.792939 ÷ 997 =
  2. 2.42059 ÷ 89 =
  3. 3.631875 ÷ 897 =
  4. 4.288156 ÷ 988 =
  5. 5.9914 ÷ 8 =
  6. 6.954204 ÷ 989 =
  7. 7.34905 ÷ 98 =
  8. 8.472330 ÷ 998 =
  9. 9.641378 ÷ 989 =
  10. 10.24503 ÷ 98 =
  11. 11.998135 ÷ 989 =
  12. 12.33878 ÷ 88 =
  13. 13.78465 ÷ 96 =
  14. 14.18006 ÷ 98 =
  15. 15.32606 ÷ 88 =
  16. 16.29796 ÷ 98 =
  17. 17.2962 ÷ 8 =
  18. 18.96331 ÷ 96 =
  19. 19.3535 ÷ 8 =
  20. 20.83003 ÷ 89 =
  21. 21.51019 ÷ 98 =
  22. 22.314621 ÷ 897 =
  23. 23.91344 ÷ 89 =
  24. 24.46048 ÷ 998 =
  25. 25.98370 ÷ 88 =
  26. 26.63995 ÷ 88 =
  27. 27.2549 ÷ 8 =
  28. 28.621572 ÷ 897 =
  29. 29.7499 ÷ 96 =
  30. 30.79644 ÷ 97 =
  31. 31.91891 ÷ 89 =
  32. 32.79858 ÷ 96 =
  33. 33.28265 ÷ 89 =
  34. 34.887555 ÷ 989 =
  35. 35.29782 ÷ 96 =
  36. 36.303164 ÷ 998 =
  37. 37.197206 ÷ 988 =
  38. 38.58930 ÷ 88 =
  39. 39.790261 ÷ 988 =
  40. 40.820547 ÷ 998 =

Answer key

  1. 795 rem 324
  2. 472 rem 51
  3. 704 rem 387
  4. 291 rem 648
  5. 1239 rem 2
  6. 964 rem 808
  7. 356 rem 17
  8. 473 rem 276
  9. 648 rem 506
  10. 250 rem 3
  11. 1009 rem 234
  12. 384 rem 86
  13. 817 rem 33
  14. 183 rem 72
  15. 370 rem 46
  16. 304 rem 4
  17. 370 rem 2
  18. 1003 rem 43
  19. 441 rem 7
  20. 932 rem 55
  21. 520 rem 59
  22. 350 rem 671
  23. 1026 rem 30
  24. 46 rem 140
  25. 1117 rem 74
  26. 727 rem 19
  27. 318 rem 5
  28. 692 rem 848
  29. 78 rem 11
  30. 821 rem 7
  31. 1032 rem 43
  32. 831 rem 82
  33. 317 rem 52
  34. 897 rem 422
  35. 310 rem 22
  36. 303 rem 770
  37. 199 rem 594
  38. 669 rem 58
  39. 799 rem 849
  40. 822 rem 191

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