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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 960 · 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. 1.548769 ÷ 988 =
  2. 2.2684 ÷ 8 =
  3. 3.454460 ÷ 998 =
  4. 4.50251 ÷ 98 =
  5. 5.874381 ÷ 989 =
  6. 6.19244 ÷ 96 =
  7. 7.676308 ÷ 897 =
  8. 8.151232 ÷ 998 =
  9. 9.92905 ÷ 88 =
  10. 10.77085 ÷ 97 =
  11. 11.302578 ÷ 998 =
  12. 12.364525 ÷ 897 =
  13. 13.908979 ÷ 989 =
  14. 14.4554 ÷ 8 =
  15. 15.768162 ÷ 997 =
  16. 16.380214 ÷ 897 =
  17. 17.502791 ÷ 988 =
  18. 18.42340 ÷ 988 =
  19. 19.9730 ÷ 8 =
  20. 20.8955 ÷ 8 =
  21. 21.15861 ÷ 96 =
  22. 22.732660 ÷ 897 =
  23. 23.249978 ÷ 997 =
  24. 24.31788 ÷ 96 =
  25. 25.55012 ÷ 97 =
  26. 26.75849 ÷ 88 =
  27. 27.913589 ÷ 988 =
  28. 28.9482 ÷ 8 =
  29. 29.874507 ÷ 988 =
  30. 30.51672 ÷ 98 =
  31. 31.847915 ÷ 997 =
  32. 32.6856 ÷ 8 =
  33. 33.57685 ÷ 97 =
  34. 34.93777 ÷ 89 =
  35. 35.70033 ÷ 96 =
  36. 36.605002 ÷ 897 =
  37. 37.87362 ÷ 97 =
  38. 38.1871 ÷ 89 =
  39. 39.979397 ÷ 988 =
  40. 40.48409 ÷ 96 =

Answer key

  1. 555 rem 429
  2. 335 rem 4
  3. 455 rem 370
  4. 512 rem 75
  5. 884 rem 105
  6. 200 rem 44
  7. 753 rem 867
  8. 151 rem 534
  9. 1055 rem 65
  10. 794 rem 67
  11. 303 rem 184
  12. 406 rem 343
  13. 919 rem 88
  14. 569 rem 2
  15. 770 rem 472
  16. 423 rem 783
  17. 508 rem 887
  18. 42 rem 844
  19. 1216 rem 2
  20. 1119 rem 3
  21. 165 rem 21
  22. 816 rem 708
  23. 250 rem 728
  24. 331 rem 12
  25. 567 rem 13
  26. 861 rem 81
  27. 924 rem 677
  28. 1185 rem 2
  29. 885 rem 127
  30. 527 rem 26
  31. 850 rem 465
  32. 857 rem 0
  33. 594 rem 67
  34. 1053 rem 60
  35. 729 rem 49
  36. 674 rem 424
  37. 900 rem 62
  38. 21 rem 2
  39. 991 rem 289
  40. 504 rem 25

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