How does printing from film work? and how does one do these X-large prints?
First you need to take a picture on film and develop it. As a result the film turns into a negativ, in this case it's a large format (8x10) one, which gives loads detail:

Next you put it in a projector (enlarger) and project it onto light-sensitiv paper:

The print processor developes the picture. The process is not un-similar to the one used for the film. here it comes:

Disclaimer: This is all super-high-end x-large stuff. You can
do analog much simpler than that, the process stays the same.
btw.: I skipped all the boring steps.
*gallery print size: 80cm x 100cm