The Flosser got stuck and cut my gums?!?

I just went to the dentist last week. Everything was okay, so I decided I wanted to keep it that way, so I bought flossers because they are easier to use than floss. Two of my teeth in front on the bottom closely overlap. When I stuck the flosser in there it got stuck. I tried to get it out, but I ended up making my gums bleed, a lot and started freaking. Eventually I got it out, but it was kind of unnerving. I tried floss yesterday and it also got stuck, although it didn't cause as much bleeding. Is there an easier way to floss that one gap (or lack of a gap)?