Seven sevens cryptarithmetic

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