Been there, done that times 2. I slipped a piece of gauze betweent he dew claw and the leg, then padded the claw and bandaged. The first time, I had planned to take Jake in to get the claw removed as it was at a 45 degree angle. When I looked a day later the nail was in the bandage. No vet visit needed.
The last time not so bad an injury, so I put polysporin on it and let it heal. 5 days later his foot swelled, he had in infection. So either way, keep a close eye on it.
I would suggest doing what I did the first time and bandaging it (after soaking it) Check it daily, but it will probably heal up fine.