Get some ice and put it in a plastic baggy, and wrap the baggy in some soft, thin cloth. Apply the ice to your fingers and it should help with the pain. Also take some advil. If it's blistering, you should go to the doctor. They'll but some burn gel on your fingers and cleanse it properly. Don't soak you hand in cold water though, it won't help, when you pull your hand out of the water, it will burn even worse than before. Hope I helped :) Feel better!
If you have an Aloe Vera plant- use that. Just cut off a leaf and squeeze the gel onto your burn- works like a charm! (: If you don't have it, try putting a cool, wet washcloth on it. It takes time for the burn to completely go away. It's important that you do NOT put ice on it. This may cause it to burn more if you keep the ice on it too long. Good Luck!
Run cool water over the burned area. It won't make the pain completely go away but it should help dull it a bit. Burns can take a while to heal, but this is small so it will probably be gone tomorrow.
Haha if this is your first time getting burned bad enough that it has boiled your skin a little i can just tell you one thing.. it wont go away in a few hours.. last time i burnt myself bad i had this overwhelming sensation of burning and stinging the rest of the day! Try holding something cold against it.. or if its possible hold your fingers in a glass of cold water(not as effective as holding something dry and cold against your burned area..)
put cold water on it you should have done that right away.