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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 732 · 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. 1.616161 ÷ 989 =
  2. 2.10802 ÷ 89 =
  3. 3.67496 ÷ 96 =
  4. 4.128730 ÷ 897 =
  5. 5.59069 ÷ 97 =
  6. 6.86742 ÷ 96 =
  7. 7.6521 ÷ 97 =
  8. 8.20197 ÷ 96 =
  9. 9.63362 ÷ 89 =
  10. 10.11826 ÷ 98 =
  11. 11.94169 ÷ 98 =
  12. 12.158370 ÷ 897 =
  13. 13.25390 ÷ 97 =
  14. 14.1070 ÷ 8 =
  15. 15.51084 ÷ 89 =
  16. 16.4638 ÷ 8 =
  17. 17.49140 ÷ 98 =
  18. 18.30191 ÷ 89 =
  19. 19.11787 ÷ 88 =
  20. 20.247634 ÷ 897 =
  21. 21.56062 ÷ 89 =
  22. 22.47341 ÷ 96 =
  23. 23.724376 ÷ 897 =
  24. 24.861918 ÷ 997 =
  25. 25.763 ÷ 8 =
  26. 26.56523 ÷ 89 =
  27. 27.4453 ÷ 8 =
  28. 28.76595 ÷ 97 =
  29. 29.46132 ÷ 97 =
  30. 30.207878 ÷ 998 =
  31. 31.950594 ÷ 988 =
  32. 32.6181 ÷ 8 =
  33. 33.46031 ÷ 998 =
  34. 34.42395 ÷ 88 =
  35. 35.50929 ÷ 96 =
  36. 36.780632 ÷ 897 =
  37. 37.579599 ÷ 997 =
  38. 38.77756 ÷ 98 =
  39. 39.623965 ÷ 998 =
  40. 40.55534 ÷ 98 =

Answer key

  1. 623 rem 14
  2. 121 rem 33
  3. 703 rem 8
  4. 143 rem 459
  5. 608 rem 93
  6. 903 rem 54
  7. 67 rem 22
  8. 210 rem 37
  9. 711 rem 83
  10. 120 rem 66
  11. 960 rem 89
  12. 176 rem 498
  13. 261 rem 73
  14. 133 rem 6
  15. 573 rem 87
  16. 579 rem 6
  17. 501 rem 42
  18. 339 rem 20
  19. 133 rem 83
  20. 276 rem 62
  21. 629 rem 81
  22. 493 rem 13
  23. 807 rem 497
  24. 864 rem 510
  25. 95 rem 3
  26. 635 rem 8
  27. 556 rem 5
  28. 789 rem 62
  29. 475 rem 57
  30. 208 rem 294
  31. 962 rem 138
  32. 772 rem 5
  33. 46 rem 123
  34. 481 rem 67
  35. 530 rem 49
  36. 870 rem 242
  37. 581 rem 342
  38. 793 rem 42
  39. 625 rem 215
  40. 566 rem 66

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