I am not allergic to long division

Dr. Richard P. Feynman posed the following puzzle: Each of the dots below represents some digit (any digit 0 to 9). Each of the AA's represents the same digit. None of the dots are the same as A.A.

What is the sum of the divisor, the dividend, and the quotient?

Details and Assumptions:

  • Both manual and CS solutions are encouraged.
  • You can see the original letter below.


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