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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 981 · 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. 1.4515 ÷ 8 =
  2. 2.190619 ÷ 988 =
  3. 3.401872 ÷ 988 =
  4. 4.56890 ÷ 88 =
  5. 5.681625 ÷ 998 =
  6. 6.796337 ÷ 988 =
  7. 7.7794 ÷ 96 =
  8. 8.44341 ÷ 88 =
  9. 9.4929 ÷ 8 =
  10. 10.78220 ÷ 89 =
  11. 11.22895 ÷ 96 =
  12. 12.98598 ÷ 98 =
  13. 13.101431 ÷ 989 =
  14. 14.9702 ÷ 8 =
  15. 15.434828 ÷ 997 =
  16. 16.708258 ÷ 998 =
  17. 17.94268 ÷ 88 =
  18. 18.70159 ÷ 98 =
  19. 19.19805 ÷ 98 =
  20. 20.897891 ÷ 998 =
  21. 21.941468 ÷ 897 =
  22. 22.1565 ÷ 88 =
  23. 23.727615 ÷ 988 =
  24. 24.4903 ÷ 97 =
  25. 25.85371 ÷ 96 =
  26. 26.192329 ÷ 997 =
  27. 27.13267 ÷ 98 =
  28. 28.57531 ÷ 998 =
  29. 29.897714 ÷ 897 =
  30. 30.9361 ÷ 8 =
  31. 31.6673 ÷ 8 =
  32. 32.76185 ÷ 997 =
  33. 33.57181 ÷ 89 =
  34. 34.9020 ÷ 8 =
  35. 35.91775 ÷ 88 =
  36. 36.62425 ÷ 88 =
  37. 37.6455 ÷ 8 =
  38. 38.77493 ÷ 897 =
  39. 39.22986 ÷ 96 =
  40. 40.104646 ÷ 989 =

Answer key

  1. 564 rem 3
  2. 192 rem 923
  3. 406 rem 744
  4. 646 rem 42
  5. 682 rem 989
  6. 806 rem 9
  7. 81 rem 18
  8. 503 rem 77
  9. 616 rem 1
  10. 878 rem 78
  11. 238 rem 47
  12. 1006 rem 10
  13. 102 rem 553
  14. 1212 rem 6
  15. 436 rem 136
  16. 709 rem 676
  17. 1071 rem 20
  18. 715 rem 89
  19. 202 rem 9
  20. 899 rem 689
  21. 1049 rem 515
  22. 17 rem 69
  23. 736 rem 447
  24. 50 rem 53
  25. 889 rem 27
  26. 192 rem 905
  27. 135 rem 37
  28. 57 rem 645
  29. 1000 rem 714
  30. 1170 rem 1
  31. 834 rem 1
  32. 76 rem 413
  33. 642 rem 43
  34. 1127 rem 4
  35. 1042 rem 79
  36. 709 rem 33
  37. 806 rem 7
  38. 86 rem 351
  39. 239 rem 42
  40. 105 rem 801

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