• 処理しょり — processing / handling
• 処分しょぶん — disposal / punishment
• 処置しょち — treatment / measure
• 対処たいしょ — dealing with / coping
• 処女しょじょ — maiden / virgin (formal/archaic)
• 処方しょほう — prescription

処 originally indicated a place to stop or settle (夂 “to go slowly”), and by extension meant “to manage/deal with.” It’s frequent in administrative and technical terms like 処理 and 処分.

The kun-yomi ところ (“place”) appears in set phrases; ショ dominates in compounds.

問題もんだいを 適切てきせつに 処理しょりすることが 重要じゅうようです。
It’s important to handle the problem appropriately.

この山やまの奥おくには 誰だれも 知しらない 処ところがあります。
There is a hidden place deep in this mountain that no one knows about.