On the show "Gotham", it seems that Alfred raised Bruce from the time the Waynes were killed, and that he homeschooled Bruce.
I don't remember those aspects of Bruce's childhood from the comics. (Originally, in fact, Alfred joined the household when Bruce was an adult.) I seem to remember something about teenaged Bruce traveling the world and learning martial arts and stuff, but that doesn't really address how he spent most of those years.
In the comics canon, who raised Bruce from age 8 until he became an adult? And did he go to an actual school?