Imagine you have a bunch of little toys that are made up of tiny little balls. These balls are called atoms, and they have different parts. The center part is called the nucleus, and it is made up of even smaller parts called protons and neutrons.
Sometimes, a nucleus can become unstable and start to shake. When this happens, it wants to get rid of some of its protons to become more stable. It's like trying to fit too many toys in one box - you have to take some out to make it fit better.
The nucleus gets rid of a proton by shooting it out like a tiny rocket. This is called proton emission. The proton that is emitted goes flying out into space, and the nucleus becomes a different type of atom with one less proton.
This process is similar to radioactive decay, where unstable atoms break down into more stable atoms by giving off radiation. Proton emission is just one type of radioactive decay that happens when a nucleus has too many protons and needs to get rid of some to become more stable.