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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 471 · 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. 1.804 ÷ 8 =
  2. 2.74422 ÷ 88 =
  3. 3.71172 ÷ 89 =
  4. 4.671271 ÷ 989 =
  5. 5.3640 ÷ 8 =
  6. 6.51188 ÷ 88 =
  7. 7.924181 ÷ 988 =
  8. 8.149409 ÷ 997 =
  9. 9.78785 ÷ 988 =
  10. 10.410407 ÷ 998 =
  11. 11.789663 ÷ 997 =
  12. 12.3835 ÷ 8 =
  13. 13.865859 ÷ 998 =
  14. 14.2037 ÷ 97 =
  15. 15.667176 ÷ 989 =
  16. 16.222381 ÷ 897 =
  17. 17.85664 ÷ 88 =
  18. 18.900417 ÷ 998 =
  19. 19.21319 ÷ 96 =
  20. 20.204122 ÷ 897 =
  21. 21.14806 ÷ 97 =
  22. 22.6902 ÷ 8 =
  23. 23.93577 ÷ 97 =
  24. 24.96104 ÷ 97 =
  25. 25.1819 ÷ 8 =
  26. 26.398083 ÷ 998 =
  27. 27.13575 ÷ 97 =
  28. 28.8713 ÷ 8 =
  29. 29.33167 ÷ 89 =
  30. 30.73238 ÷ 97 =
  31. 31.920443 ÷ 988 =
  32. 32.921793 ÷ 997 =
  33. 33.85265 ÷ 989 =
  34. 34.170244 ÷ 997 =
  35. 35.99012 ÷ 89 =
  36. 36.849563 ÷ 988 =
  37. 37.721629 ÷ 997 =
  38. 38.941192 ÷ 897 =
  39. 39.36404 ÷ 89 =
  40. 40.814828 ÷ 998 =

Answer key

  1. 100 rem 4
  2. 845 rem 62
  3. 799 rem 61
  4. 678 rem 729
  5. 455 rem 0
  6. 581 rem 60
  7. 935 rem 401
  8. 149 rem 856
  9. 79 rem 733
  10. 411 rem 229
  11. 792 rem 39
  12. 479 rem 3
  13. 867 rem 593
  14. 21 rem 0
  15. 674 rem 590
  16. 247 rem 822
  17. 973 rem 40
  18. 902 rem 221
  19. 222 rem 7
  20. 227 rem 503
  21. 152 rem 62
  22. 862 rem 6
  23. 964 rem 69
  24. 990 rem 74
  25. 227 rem 3
  26. 398 rem 879
  27. 139 rem 92
  28. 1089 rem 1
  29. 372 rem 59
  30. 755 rem 3
  31. 931 rem 615
  32. 924 rem 565
  33. 86 rem 211
  34. 170 rem 754
  35. 1112 rem 44
  36. 859 rem 871
  37. 723 rem 798
  38. 1049 rem 239
  39. 409 rem 3
  40. 816 rem 460

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