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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 327 · 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. 1.897612 ÷ 897 =
  2. 2.16420 ÷ 88 =
  3. 3.18001 ÷ 97 =
  4. 4.87547 ÷ 98 =
  5. 5.396106 ÷ 997 =
  6. 6.3001 ÷ 8 =
  7. 7.9355 ÷ 96 =
  8. 8.453212 ÷ 988 =
  9. 9.936077 ÷ 998 =
  10. 10.49413 ÷ 89 =
  11. 11.10960 ÷ 89 =
  12. 12.71983 ÷ 98 =
  13. 13.827497 ÷ 997 =
  14. 14.71009 ÷ 97 =
  15. 15.23566 ÷ 97 =
  16. 16.197546 ÷ 997 =
  17. 17.39888 ÷ 98 =
  18. 18.747472 ÷ 988 =
  19. 19.67275 ÷ 96 =
  20. 20.82479 ÷ 96 =
  21. 21.56583 ÷ 97 =
  22. 22.7838 ÷ 8 =
  23. 23.20809 ÷ 89 =
  24. 24.40915 ÷ 97 =
  25. 25.10361 ÷ 997 =
  26. 26.650107 ÷ 897 =
  27. 27.922999 ÷ 998 =
  28. 28.713841 ÷ 998 =
  29. 29.957075 ÷ 998 =
  30. 30.63561 ÷ 88 =
  31. 31.35921 ÷ 96 =
  32. 32.67173 ÷ 97 =
  33. 33.2667 ÷ 8 =
  34. 34.87643 ÷ 989 =
  35. 35.628847 ÷ 897 =
  36. 36.387526 ÷ 989 =
  37. 37.28604 ÷ 989 =
  38. 38.5717 ÷ 8 =
  39. 39.8866 ÷ 8 =
  40. 40.432 ÷ 8 =

Answer key

  1. 1000 rem 612
  2. 186 rem 52
  3. 185 rem 56
  4. 893 rem 33
  5. 397 rem 297
  6. 375 rem 1
  7. 97 rem 43
  8. 458 rem 708
  9. 937 rem 951
  10. 555 rem 18
  11. 123 rem 13
  12. 734 rem 51
  13. 829 rem 984
  14. 732 rem 5
  15. 242 rem 92
  16. 198 rem 140
  17. 407 rem 2
  18. 756 rem 544
  19. 700 rem 75
  20. 859 rem 15
  21. 583 rem 32
  22. 979 rem 6
  23. 233 rem 72
  24. 421 rem 78
  25. 10 rem 391
  26. 724 rem 679
  27. 924 rem 847
  28. 715 rem 271
  29. 958 rem 991
  30. 722 rem 25
  31. 374 rem 17
  32. 692 rem 49
  33. 333 rem 3
  34. 88 rem 611
  35. 701 rem 50
  36. 391 rem 827
  37. 28 rem 912
  38. 714 rem 5
  39. 1108 rem 2
  40. 54 rem 0

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