Why would you want to do it remotely? I have worked with interns from a lot of countries, and this is something especially the EU makes a lot easier (but I've also worked with interns from e.g. Egypt). And while we have done remote internships, I'm convinced being in the same spot works a lot better, for both parties.

Depending on the company, you won't get rich, but we have always tried to make sure interns could at least break even, and off-course learn a lot. Some of them stayed, and I have now one remote person working for us in Egypt, who used to be an intern (and stayed in Amsterdam, where we are based, during the internship).