Lonesome-Eight Challenge

[Albert Chan]

(09-05-2018 08:30 PM)SlideRule Wrote:  from page 55 of Martin Garner's My Best Mathematical and Logic Puzzles.

The divisor must be more than 123 because 80809 times 123 is a seven-digit number
and our dividend has eight digits. The only number between 123 and 125 is 124.

FYI, the book How to Solve Mathematical Problems do not need to do 123 * 80809
The author, Wagne A. Wickelgren, noted what is subtracted must be 990 to 999.
So, 123 * 8 = 1000 - 16 < 990 is enough to reject it.