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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 334 · 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. 1.60677 ÷ 98 =
  2. 2.81141 ÷ 88 =
  3. 3.80549 ÷ 88 =
  4. 4.673731 ÷ 988 =
  5. 5.82798 ÷ 98 =
  6. 6.12735 ÷ 897 =
  7. 7.674814 ÷ 897 =
  8. 8.6899 ÷ 98 =
  9. 9.405507 ÷ 998 =
  10. 10.75611 ÷ 998 =
  11. 11.406047 ÷ 897 =
  12. 12.65325 ÷ 97 =
  13. 13.956873 ÷ 897 =
  14. 14.19122 ÷ 97 =
  15. 15.39726 ÷ 988 =
  16. 16.71545 ÷ 88 =
  17. 17.856521 ÷ 988 =
  18. 18.84094 ÷ 98 =
  19. 19.24544 ÷ 88 =
  20. 20.19130 ÷ 96 =
  21. 21.24403 ÷ 88 =
  22. 22.52906 ÷ 88 =
  23. 23.2061 ÷ 8 =
  24. 24.746701 ÷ 897 =
  25. 25.8108 ÷ 8 =
  26. 26.664731 ÷ 988 =
  27. 27.109476 ÷ 989 =
  28. 28.9474 ÷ 98 =
  29. 29.13155 ÷ 88 =
  30. 30.263198 ÷ 989 =
  31. 31.776515 ÷ 989 =
  32. 32.69537 ÷ 89 =
  33. 33.82379 ÷ 97 =
  34. 34.19226 ÷ 96 =
  35. 35.80245 ÷ 98 =
  36. 36.87798 ÷ 88 =
  37. 37.360279 ÷ 897 =
  38. 38.17662 ÷ 96 =
  39. 39.43849 ÷ 96 =
  40. 40.8753 ÷ 96 =

Answer key

  1. 619 rem 15
  2. 922 rem 5
  3. 915 rem 29
  4. 681 rem 903
  5. 844 rem 86
  6. 14 rem 177
  7. 752 rem 270
  8. 70 rem 39
  9. 406 rem 319
  10. 75 rem 761
  11. 452 rem 603
  12. 673 rem 44
  13. 1066 rem 671
  14. 197 rem 13
  15. 40 rem 206
  16. 813 rem 1
  17. 866 rem 913
  18. 858 rem 10
  19. 278 rem 80
  20. 199 rem 26
  21. 277 rem 27
  22. 601 rem 18
  23. 257 rem 5
  24. 832 rem 397
  25. 1013 rem 4
  26. 672 rem 795
  27. 110 rem 686
  28. 96 rem 66
  29. 149 rem 43
  30. 266 rem 124
  31. 785 rem 150
  32. 781 rem 28
  33. 849 rem 26
  34. 200 rem 26
  35. 818 rem 81
  36. 997 rem 62
  37. 401 rem 582
  38. 183 rem 94
  39. 456 rem 73
  40. 91 rem 17

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