What can you do when your pencil broke and you don't have a sharpener?

First off, you should check to see if it is a mechanical pencil or not. If it a regular pencil the fix will be much easier. Just find a pencil sharpener, stick the pencil in, and hold it there until it's sharp. If you don't have a sharpener, you could go to any office supplies store and buy one (prices range from $2 to $172). If you don't have a car, and can't secure a ride there, then you should pull out a pocketknife and cut back the wood surrounding the lead. If all else fails, then break the pencil in half and get a new one. If it is a mechanical pencil, the only logical fix is to get a new pencil. You can find them in the same stores as the sharpeners.