Used to mean 'in accordance with' or 'following'; indicates compliance with rules, orders, or policies (formal/written usage).
会社の規定に従い、休暇の申請を出してください。
Please submit your leave request in accordance with company regulations.
法律に従い、適切な処置を取ります。
We will take appropriate measures in accordance with the law.
上司の指示に従い、報告書を修正した。
I revised the report following my supervisor's instructions.