Noun
Verb (する, transitive)
1. disposal; throwing away; selling off
こういう機会でもないと処分出来ないからな。I can't get rid of it unless there's an opportunity like this.
2. dealing with (a problem); measure
3. punishment; penalty
犯罪ではないので処分はないでしょう。Since it is not a crime, there will likely be no penalty.
4. putting down (e.g. diseased animal)