A very polite form of ある/いる used to indicate existence or availability; used to show respect (usually written in kana).
お手洗いはあちらにございます。
The restrooms are over there (polite).
ご不明な点がございましたら、お知らせください。
If you have any questions, please let us know.
An auxiliary used after the -te form of a verb to express polite progressive/state (e.g., ～ております = polite ～ている).
只今、確認しておりますので少々お待ちください。
We are checking it now, so please wait a moment.
ただいま準備しております。もう少々お待ちください。
We are preparing it now. Please wait a little longer.
An archaic or highly formal auxiliary after the -te form of a verb used to express past or completed action (as in ～ましてございます); very formal and rarely used in daily speech.
先日は大変お世話になりましてございました。
I was very much obliged to you the other day. (very formal/archaic)