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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 457 · 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. 1.940886 ÷ 897 =
  2. 2.1563 ÷ 8 =
  3. 3.15102 ÷ 97 =
  4. 4.33231 ÷ 998 =
  5. 5.500974 ÷ 988 =
  6. 6.24873 ÷ 998 =
  7. 7.18679 ÷ 98 =
  8. 8.33826 ÷ 89 =
  9. 9.47557 ÷ 98 =
  10. 10.314292 ÷ 997 =
  11. 11.116140 ÷ 988 =
  12. 12.69145 ÷ 897 =
  13. 13.595959 ÷ 997 =
  14. 14.704671 ÷ 988 =
  15. 15.2887 ÷ 89 =
  16. 16.63885 ÷ 89 =
  17. 17.477736 ÷ 998 =
  18. 18.113462 ÷ 997 =
  19. 19.157176 ÷ 989 =
  20. 20.756747 ÷ 988 =
  21. 21.39968 ÷ 89 =
  22. 22.155740 ÷ 989 =
  23. 23.3739 ÷ 97 =
  24. 24.904 ÷ 8 =
  25. 25.5200 ÷ 8 =
  26. 26.61923 ÷ 89 =
  27. 27.238271 ÷ 988 =
  28. 28.73394 ÷ 97 =
  29. 29.19606 ÷ 98 =
  30. 30.63930 ÷ 88 =
  31. 31.6051 ÷ 88 =
  32. 32.3055 ÷ 8 =
  33. 33.42994 ÷ 98 =
  34. 34.54397 ÷ 96 =
  35. 35.45177 ÷ 98 =
  36. 36.42140 ÷ 998 =
  37. 37.61255 ÷ 88 =
  38. 38.853250 ÷ 997 =
  39. 39.736160 ÷ 998 =
  40. 40.680975 ÷ 997 =

Answer key

  1. 1048 rem 830
  2. 195 rem 3
  3. 155 rem 67
  4. 33 rem 297
  5. 507 rem 58
  6. 24 rem 921
  7. 190 rem 59
  8. 380 rem 6
  9. 485 rem 27
  10. 315 rem 237
  11. 117 rem 544
  12. 77 rem 76
  13. 597 rem 750
  14. 713 rem 227
  15. 32 rem 39
  16. 717 rem 72
  17. 478 rem 692
  18. 113 rem 801
  19. 158 rem 914
  20. 765 rem 927
  21. 449 rem 7
  22. 157 rem 467
  23. 38 rem 53
  24. 113 rem 0
  25. 650 rem 0
  26. 695 rem 68
  27. 241 rem 163
  28. 756 rem 62
  29. 200 rem 6
  30. 726 rem 42
  31. 68 rem 67
  32. 381 rem 7
  33. 438 rem 70
  34. 566 rem 61
  35. 460 rem 97
  36. 42 rem 224
  37. 696 rem 7
  38. 855 rem 815
  39. 737 rem 634
  40. 683 rem 24

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