Is it normal to feel guilty/bad after breaking up with someone?

We were together for three years and i still have feelings for her. I said i felt as though i just couldn't handle a relationship right now due to life stuff which i wont go into detail here. She offered to have a break but i declined. We agreed to stay friends and i offered to carry her bags down the stairs to see her off. Seeing her off was heart wrenching but deep down i felt that breaking up was the right thing to do. Despite feeling certain that i made the right decision (and still do feel that way), there is also a strange sense of guilt that hits me at random times which i cant seem to shake off. I knew breaking up was never an easy thing to get over but i really feel like shit.