Remove part of shape that's outside another shape

Question

I am trying to cut a part of a shape that is outside another one using illustrator.

I've found this answer for Inkscape and I tried to reproduce it with Illustrator but I did not success.

I'd like to remove the part of the green shape that is outside the other one. When I try to use Pathfinder -> subtract it creates a hole in it.

I found if I use Pathfinder -> substract (front - back) Illustrator is keeping only the part I want to delete. I could copy paste that part onto my original shape and paint it the same color as the background but I don't like this solution...

P.S. What is the name of the operation I'm trying to do ? I have little to no knowledge about Illustrator and Graphic Design in general so I have trouble googling stuff

Answer 1

I always use Pathfinder > Divide to do exactly what you're asking to do. The divide action will also group the objects, so they need to be ungrouped or you need to double click into the group - and then manually select and delete the portions that need to go.