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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 220 · 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. 1.8233 ÷ 8 =
  2. 2.6902 ÷ 8 =
  3. 3.42957 ÷ 88 =
  4. 4.36614 ÷ 88 =
  5. 5.424460 ÷ 997 =
  6. 6.6367 ÷ 98 =
  7. 7.43855 ÷ 97 =
  8. 8.90773 ÷ 88 =
  9. 9.655521 ÷ 988 =
  10. 10.8046 ÷ 8 =
  11. 11.35590 ÷ 88 =
  12. 12.51257 ÷ 98 =
  13. 13.224537 ÷ 989 =
  14. 14.13524 ÷ 96 =
  15. 15.76260 ÷ 88 =
  16. 16.91731 ÷ 897 =
  17. 17.17032 ÷ 96 =
  18. 18.517708 ÷ 998 =
  19. 19.79242 ÷ 897 =
  20. 20.403867 ÷ 897 =
  21. 21.70956 ÷ 897 =
  22. 22.53829 ÷ 97 =
  23. 23.74196 ÷ 89 =
  24. 24.85173 ÷ 96 =
  25. 25.76157 ÷ 989 =
  26. 26.91127 ÷ 96 =
  27. 27.84767 ÷ 88 =
  28. 28.605275 ÷ 988 =
  29. 29.59780 ÷ 98 =
  30. 30.9627 ÷ 98 =
  31. 31.145254 ÷ 998 =
  32. 32.796081 ÷ 998 =
  33. 33.18678 ÷ 97 =
  34. 34.93658 ÷ 97 =
  35. 35.463270 ÷ 997 =
  36. 36.293235 ÷ 997 =
  37. 37.111000 ÷ 988 =
  38. 38.6442 ÷ 98 =
  39. 39.86593 ÷ 89 =
  40. 40.4079 ÷ 89 =

Answer key

  1. 1029 rem 1
  2. 862 rem 6
  3. 488 rem 13
  4. 416 rem 6
  5. 425 rem 735
  6. 64 rem 95
  7. 452 rem 11
  8. 1031 rem 45
  9. 663 rem 477
  10. 1005 rem 6
  11. 404 rem 38
  12. 523 rem 3
  13. 227 rem 34
  14. 140 rem 84
  15. 866 rem 52
  16. 102 rem 237
  17. 177 rem 40
  18. 518 rem 744
  19. 88 rem 306
  20. 450 rem 217
  21. 79 rem 93
  22. 554 rem 91
  23. 833 rem 59
  24. 887 rem 21
  25. 77 rem 4
  26. 949 rem 23
  27. 963 rem 23
  28. 612 rem 619
  29. 610 rem 0
  30. 98 rem 23
  31. 145 rem 544
  32. 797 rem 675
  33. 192 rem 54
  34. 965 rem 53
  35. 464 rem 662
  36. 294 rem 117
  37. 112 rem 344
  38. 65 rem 72
  39. 972 rem 85
  40. 45 rem 74

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