Well, you have to load it properly. You want no air space between the powder and the ball. You want to put grease over the ball, or a lubed wad under the ball, or something like that, to prevent the flash from one chamber from setting off the others. And so on. There are lots of little tips and tricks, some for safety, some just to make the thing work better or shoot straighter. Read up on it so you know how to do it properly.
But you shouldn't be able to blow up a Remington with black powder. You shouldn't be able to blow it up with proper black powder substitutes, either.
You will, however, blow the thing up CAT QUICK if you use smokeless powder in it. Don't. Just don't.