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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 806 · 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. 1.10180 ÷ 98 =
  2. 2.65897 ÷ 98 =
  3. 3.8841 ÷ 8 =
  4. 4.27456 ÷ 96 =
  5. 5.12127 ÷ 96 =
  6. 6.8343 ÷ 89 =
  7. 7.300946 ÷ 997 =
  8. 8.9371 ÷ 8 =
  9. 9.535549 ÷ 998 =
  10. 10.865171 ÷ 997 =
  11. 11.89621 ÷ 96 =
  12. 12.601686 ÷ 997 =
  13. 13.4513 ÷ 8 =
  14. 14.630999 ÷ 998 =
  15. 15.46147 ÷ 97 =
  16. 16.66202 ÷ 98 =
  17. 17.10006 ÷ 97 =
  18. 18.3972 ÷ 88 =
  19. 19.22375 ÷ 98 =
  20. 20.61905 ÷ 96 =
  21. 21.466655 ÷ 998 =
  22. 22.70681 ÷ 88 =
  23. 23.739716 ÷ 897 =
  24. 24.88866 ÷ 97 =
  25. 25.429276 ÷ 997 =
  26. 26.370663 ÷ 997 =
  27. 27.378002 ÷ 897 =
  28. 28.5668 ÷ 8 =
  29. 29.83870 ÷ 89 =
  30. 30.63427 ÷ 88 =
  31. 31.158400 ÷ 989 =
  32. 32.5247 ÷ 88 =
  33. 33.75877 ÷ 89 =
  34. 34.9525 ÷ 8 =
  35. 35.39065 ÷ 97 =
  36. 36.356171 ÷ 897 =
  37. 37.47014 ÷ 98 =
  38. 38.6786 ÷ 8 =
  39. 39.84937 ÷ 98 =
  40. 40.692871 ÷ 997 =

Answer key

  1. 103 rem 86
  2. 672 rem 41
  3. 1105 rem 1
  4. 286 rem 0
  5. 126 rem 31
  6. 93 rem 66
  7. 301 rem 849
  8. 1171 rem 3
  9. 536 rem 621
  10. 867 rem 772
  11. 933 rem 53
  12. 603 rem 495
  13. 564 rem 1
  14. 632 rem 263
  15. 475 rem 72
  16. 675 rem 52
  17. 103 rem 15
  18. 45 rem 12
  19. 228 rem 31
  20. 644 rem 81
  21. 467 rem 589
  22. 803 rem 17
  23. 824 rem 588
  24. 916 rem 14
  25. 430 rem 566
  26. 371 rem 776
  27. 421 rem 365
  28. 708 rem 4
  29. 942 rem 32
  30. 720 rem 67
  31. 160 rem 160
  32. 59 rem 55
  33. 852 rem 49
  34. 1190 rem 5
  35. 402 rem 71
  36. 397 rem 62
  37. 479 rem 72
  38. 848 rem 2
  39. 866 rem 69
  40. 694 rem 953

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