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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 447 · 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. 1.626477 ÷ 988 =
  2. 2.842305 ÷ 989 =
  3. 3.841768 ÷ 988 =
  4. 4.808748 ÷ 989 =
  5. 5.1547 ÷ 8 =
  6. 6.224493 ÷ 897 =
  7. 7.355351 ÷ 998 =
  8. 8.68594 ÷ 88 =
  9. 9.5649 ÷ 98 =
  10. 10.442197 ÷ 989 =
  11. 11.68545 ÷ 96 =
  12. 12.2155 ÷ 8 =
  13. 13.167520 ÷ 998 =
  14. 14.5294 ÷ 98 =
  15. 15.988330 ÷ 998 =
  16. 16.4251 ÷ 8 =
  17. 17.198246 ÷ 988 =
  18. 18.83688 ÷ 97 =
  19. 19.477050 ÷ 988 =
  20. 20.30024 ÷ 88 =
  21. 21.239993 ÷ 989 =
  22. 22.52356 ÷ 98 =
  23. 23.960592 ÷ 997 =
  24. 24.9957 ÷ 8 =
  25. 25.11687 ÷ 98 =
  26. 26.592193 ÷ 997 =
  27. 27.73291 ÷ 98 =
  28. 28.268625 ÷ 897 =
  29. 29.744838 ÷ 989 =
  30. 30.9174 ÷ 8 =
  31. 31.70465 ÷ 97 =
  32. 32.140829 ÷ 989 =
  33. 33.89061 ÷ 88 =
  34. 34.88306 ÷ 89 =
  35. 35.76997 ÷ 88 =
  36. 36.35032 ÷ 98 =
  37. 37.55680 ÷ 96 =
  38. 38.64196 ÷ 97 =
  39. 39.2491 ÷ 8 =
  40. 40.86711 ÷ 988 =

Answer key

  1. 634 rem 85
  2. 851 rem 666
  3. 851 rem 980
  4. 817 rem 735
  5. 193 rem 3
  6. 250 rem 243
  7. 356 rem 63
  8. 779 rem 42
  9. 57 rem 63
  10. 447 rem 114
  11. 714 rem 1
  12. 269 rem 3
  13. 167 rem 854
  14. 54 rem 2
  15. 990 rem 310
  16. 531 rem 3
  17. 200 rem 646
  18. 862 rem 74
  19. 482 rem 834
  20. 341 rem 16
  21. 242 rem 655
  22. 534 rem 24
  23. 963 rem 481
  24. 1244 rem 5
  25. 119 rem 25
  26. 593 rem 972
  27. 747 rem 85
  28. 299 rem 422
  29. 753 rem 121
  30. 1146 rem 6
  31. 726 rem 43
  32. 142 rem 391
  33. 1012 rem 5
  34. 992 rem 18
  35. 874 rem 85
  36. 357 rem 46
  37. 580 rem 0
  38. 661 rem 79
  39. 311 rem 3
  40. 87 rem 755

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