Next; secondly; subsequently — used to indicate what follows after something else in sequence or listing.
社長が挨拶をし、次いで部長が報告を行った。
The president gave a greeting, and next the manager made a report.
まず材料を準備し、次いで調理に入る。
First prepare the ingredients, and then proceed to cooking.
彼は大学で工学を学び、次いで大学院で研究を続けた。
He studied engineering at university and subsequently continued research in graduate school.