Co-washing usually helps me with this. I only detangle while in the shower, so I use a conditioner that gives me good slip, like Dove Moisturizing, NTM Deep Recovery Mask, or Silicon Mix, leave it in my hair for a few minutes, and gently comb out with a shower comb. I never comb out if my hair doesn't have slip. I also have a filter on my shower head, and this helped TREMENDOUSLY. Hard water can make the tangles worse.
When I'm done, I apply my leave-in (usually Giovanni) and I air dry. I don't touch it until it's dry. If I'm going to sleep, I might put it in a loose ponytail and put on my satin bonnet, and it's dry in the morning. When it's dry, I have no tangles, and I can easily run my fingers through my new growth. I then moisturize and seal.