Why does my blood separate every time I bleed from a cut?

I have a bug bite that turned into a scab. I was absently itching it and by accident ripped it off. Now I’m bleeding moderatley. When I wipe off the blood it separates. There is a liquid and also something the consistency of pudding. Its gross but i’ve always wondered about why it does that everytime I bleed from something. Is the blood coagulating, or are the white and red blood cells separating? I’m just curious and I would like to know what the pudding-like substance is composed of.