Probably lysosomes fuse and digest most organelles.
They are digested.
lysosomes
phagocytes
lysosomes
Mitochondria and chloroplasts.
This occurs during a process called autophagy. Autophagosomes encircle damaged or old organelles. they then fuse with lysosomes where these organelles are broken down and digested. This takes place in the lysosome.
Usually organelles are not repaired when they are broken. They simply get digested and recycled by the lysosome because the cell can always make more of a certain organelle.
chloroplasts; mitochondria
Enzymes in lysosomes do not digest organs but organelles. Old and/or damaged organelles are digested, because they may contain harmful chemicals and also they represent free "food".
Lysosomes contain digestive enzymes. They digest excess organelles, food particles, and viruses or bacteria. Once digested they are either recycled or expelled.
The fate of defective or malfunctioning organelles in cells is normally decomposition. An organelle in the cell normally destroys non working organelles and then the cell creates a new one or dies.
It is digested the same way your other food are digested.