The inspection/process when leaving a country — includes passport and boarding pass checks and issuing exit stamps.
成田空港で出国審査を受けた。
I went through the departure inspection at Narita Airport.
出国審査の列が長くて、飛行機に遅れそうだった。
The line for departure inspection was long and I was afraid I'd miss the plane.
パスポートと搭乗券を出国審査で提示してください。
Please present your passport and boarding pass at departure control.