I have this same exact problem...in fact that's why I searched online to see if anyone had a solution. It especially happens if I eat red meat like a steak. People suggest flossing, but that just pushes it into the space more. And then I will cut my gum, which is a worse pain. I've tried toothpicks, folded paper, mouthwash, water...it's horrible. I've decided to call the dentist to see what he can do about it! But you are not alone, I feel your pain!