This is a common distance problem. I run with it, too. I tried a different shoe with a wider toe box, but that gave me blisters on the tips of all ten. I went back to my Asics - better to have one toe blistering on each foot. You can try switching shoes, it may help.

I've had people tell me to lube up the toes with glide or vaseline. Others say tape it. You'll just have to try a few different things to see what works for you - but don't test stuff during really long runs. I run with a blister bandaid over it and just deal. It's that or stop running and I can't do that. Good luck

I have had this problem but it got worse... my toenail has fallen off twice in the last year. I thought it was my shoes, so I got new ones (twice) and it still happened. It never hurt while running...I then started to think about what could be the cause and I realized I was pulling my socks so tight that it bent my toe. I know it sounds crazy but it is all I can think of. I am very careful to not pull my socks now, so we'll see if that does the trick

Same toe both feet! I have tried vaseline, body glide, toe cots, Band-Aid, new shoes, smaller socks, & larger socks. I do not have issues in training anymore and thought the "issue" was over & done with. However, I will lose a toenail or two after a few marathons each year. Most foot issues are with the shoes one wears, but according to my Sports Dr. this issue seems to do with how the toes move when running. Since there is no way to condition my toes to move another way I just deal with it. Like another poster said the only option is to stop running and that's not going to happen with me! I'd love to hear what other runners have to say about this!
Happy running.