I accidentally dropped one of my sister's favorite plates from Japan, and we were out of super glue! Luckily, we thought of something that might have the same effect -- clear nail polish. We were doubtful that nail polish would be able to hold all the broken pieces together, but sure enough, it worked!
Lather a generous amount of nail polish on each edge of the broken piece. Then, fit the pieces together individually and hold them together for a few seconds.