The widespread use of remote meetings enabled collaborative work without being co-located. However, remote meetings require participants to engage in multiple tasks simultaneously, such as browsing the document, texting in chat, and taking notes. These multitasking environments make it difficult to recognize who is about to speak or when to speak, which can lead to speech contention or awkward silence. To address this issue, we analyzed gaze behavior during three meeting conditions, in-person, audio, and video meetings, and two multitasking tasks, document browsing and chat replying, to find out the cues for smooth turn-taking. We analyzed the next speaker’s gaze direction just before taking a turn after speech contention or silence occurred. The result suggested that just before taking a turn after speech contention, the next speaker tends to gaze at the document or chat rather than at other participants, and after silence, the gaze direction is distributed. Based on these findings, we discuss the implications for facilitating smooth turn-taking in a multitasking videoconference.