Enigma 618: Mysterious divisor

This was a very complicated yet fun-to-do problem. The answer will be posted next.

Enigmatic Code

From New Scientist #1772, 8th June 1991 [link]

In this division sum, the divisor is missing but the rest of the sum is there all right, with different letters substituted for different digits:

Find the divisor and write out the complete sum with the letters replaced by digits.

[enigma618]

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