Ive had my period for 34 days now. This isn't the first time this has happened. I went to the doctors and I got on the depo shot to stop this from happening. I have been on the shot for about 6 months now. Is this normal, or what would be a good solution to take care of this problem.

No, it's not normal, but not unheard of. There are various causes, from fibroids to thyroid conditions. Go back to your doctor. If you don't have a regular GYN, get one.