Puzzling Asked on March 16, 2021
This is not my original, but one of the older puzzles I found in an almost-20-years-old puzzle book1. It’s definitely not the original of the book’s author either, so I can’t tell the real original source. When I encountered this for the first time, it took me a whole day to solve to the end.
Complete the following long division. An asterisk may contain any single digit from 0 to 9, except that leading zeros are not permitted.
* * 7 * *
---------------------
* * * * 7 * ) * * 7 * * * * * * *
* * * * * *
-------------------
* * * * * 7 *
* * * * * * *
-------------------
* 7 * * * *
* 7 * * * *
---------------
* * * * * * *
* * * * 7 * *
---------------
* * * * * *
* * * * * *
-----------
0
1 Fun Math Puzzles for Genius (Korean), Boo-sung Park, 2001
It is
I started by noticing that
and got the answer with some more efforts (which is too lengthy to write down).
Correct answer by WhatsUp on March 16, 2021
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