Feynman 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 $A$'s represents the same digit. None of the dots are the same as $A.$

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

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Details and Assumptions:

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

The above is a long division with most of the digits of any number hidden, except for the three 7's. Given that each of 0, 1, 2, ..., 9 was used at least once for the hidden digits, figure out all of the digits hiding and submit your answer as the value of the dividend (the 6-digit number being divided).

Details and Assumptions:

• Each $\mathrm X$ represents a single-digit integer.
• The leading (leftmost) digit of a number cannot be 0.