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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 413 · 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. 1.896808 ÷ 997 =
  2. 2.2876 ÷ 97 =
  3. 3.102772 ÷ 897 =
  4. 4.3559 ÷ 8 =
  5. 5.73527 ÷ 89 =
  6. 6.479738 ÷ 989 =
  7. 7.90081 ÷ 98 =
  8. 8.56224 ÷ 98 =
  9. 9.851072 ÷ 988 =
  10. 10.92135 ÷ 98 =
  11. 11.38585 ÷ 88 =
  12. 12.29803 ÷ 97 =
  13. 13.683309 ÷ 998 =
  14. 14.212340 ÷ 998 =
  15. 15.26631 ÷ 897 =
  16. 16.27931 ÷ 97 =
  17. 17.638418 ÷ 989 =
  18. 18.934001 ÷ 998 =
  19. 19.14573 ÷ 96 =
  20. 20.9119 ÷ 8 =
  21. 21.5677 ÷ 8 =
  22. 22.876342 ÷ 897 =
  23. 23.2616 ÷ 8 =
  24. 24.861100 ÷ 997 =
  25. 25.491647 ÷ 989 =
  26. 26.2917 ÷ 8 =
  27. 27.62568 ÷ 89 =
  28. 28.543063 ÷ 897 =
  29. 29.74153 ÷ 96 =
  30. 30.22639 ÷ 88 =
  31. 31.46314 ÷ 98 =
  32. 32.54290 ÷ 98 =
  33. 33.66946 ÷ 989 =
  34. 34.27419 ÷ 98 =
  35. 35.33401 ÷ 96 =
  36. 36.238 ÷ 8 =
  37. 37.397644 ÷ 997 =
  38. 38.66275 ÷ 88 =
  39. 39.59285 ÷ 96 =
  40. 40.47221 ÷ 89 =

Answer key

  1. 899 rem 505
  2. 29 rem 63
  3. 114 rem 514
  4. 444 rem 7
  5. 826 rem 13
  6. 485 rem 73
  7. 919 rem 19
  8. 573 rem 70
  9. 861 rem 404
  10. 940 rem 15
  11. 438 rem 41
  12. 307 rem 24
  13. 684 rem 677
  14. 212 rem 764
  15. 29 rem 618
  16. 287 rem 92
  17. 645 rem 513
  18. 935 rem 871
  19. 151 rem 77
  20. 1139 rem 7
  21. 709 rem 5
  22. 976 rem 870
  23. 327 rem 0
  24. 863 rem 689
  25. 497 rem 114
  26. 364 rem 5
  27. 703 rem 1
  28. 605 rem 378
  29. 772 rem 41
  30. 257 rem 23
  31. 472 rem 58
  32. 553 rem 96
  33. 67 rem 683
  34. 279 rem 77
  35. 347 rem 89
  36. 29 rem 6
  37. 398 rem 838
  38. 753 rem 11
  39. 617 rem 53
  40. 530 rem 51

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