I was pretty young when I first found out about emulation. I found out about it through one of my parent's friends at the time.
We were spending time at their house one day, and they wanted to give me something to do to occupy me while they went and did adult stuff. They sat me down at their computer showed me the different emulators, taught me how to open the roms to play, and let me have at it. It was an experience I'd never forget.
A few years after that I got my first home computer, and that's when my interest in emulation really took off, because it got me interested in foreign games I hadn't had prior access to. Which led me to finding fan translations, and romhacks.
I also believe these games deserve to be preserved and played by any means necessary, with growing scarcity for some titles and things just degrading with the passage of time. Emulation plays a huge role in keeping some of these consoles alive.
I also know in some countries, emulation is basically a necessity, because game consoles and the games themselves cost an exorbitant amount of money, and they aren't always privy to what's most modern either.