Well if you don't have an incubator I think you may have a hard time here, normally I would recommend just putting the egg in the incubator and letting the chick hatch, the chick most likely doesn't need help, just more time, which without an incubator or mother hen, it will not get.
At this point the chick needs 2 things, continued heat which the hen or incubator would provide, and moisture to prevent the membrane from drying out and preventing the chick from zipping out. It can take a chick even more than 24 hours to hatch after a pip, sometimes they have pipped and they are still not done absorbing the yolk sac, that is the dangerous part of helping, if you help too early and it still has exposed yolk sac it can have a bad outcome. All you can really do is keep the egg warm somehow, as close to incubating temp as you can, I would smear some sort of Neosporin without pain reliever around the edge of the pip to keep the membrane moist, it would be a plus if you could put it in some sort of container which would keep it warm and allow you to add humidity which is unlikely if you don't have incubator, but you could mist the outside of the shell with a spray bottle of warm water occasionally to help with the moisture and maybe set it under a light bulb in a box or something to keep warm, keep misting the shell being careful not to mist the chicks beak and drown it or spray too much into the shell pip and drown it, rather than misting you could also set the egg in a wet paper towel for added moisture. If after a day or so it hasn't hatched yet what I do is carefully make the pip larger, almost to the point that the chick could crawl out of the hole but only enlarge it in the air cell area of the egg, I would at this point remove the outer membrane, that is the one that is white or opaque and doesn't have blood vessels, at that point you should have a large enough hole to see in and see the inner membrane around the chick and see if it still has blood vessels in it, if it has large blood vessels then the chick is not done developing, in any case this is as far as I will take it, with that large hole the chick should be able to get out if it is able. I never fully remove the shell from a chick unless it is most the way out and there is a large piece of shell dried on to the chick's fuzz. I won't chance removing the bottom of the shell if I cannot tell if it is done developing or not.