How should I put this sentence?
It depends on how clear, precise, and complete you want to be. It also depends on whether you want a higher or better style, or whether your goal is to use language that is close to your original and you only want to make sure it is understandable. Finally, it also depends on whether or not you want to change some of the other sentences.
For example, do you want to make it easy for your reader or listener to understand the whole situation? I guess that the recording was made to help people learn or improve English. Is that correct?
I also guess that you are talking about an exercise in which learners are supposed to give the missing responses (the missing side of the conversation), but your friend and you decided to use a different way to practice: You listened to each sentence, paused the recording and then one of you would repeat what you heard. Then you resumed the recording to play the next sentence, paused it again, then the other of you repeated that one. And you continued taking turns in this way.
If this is all correct, then maybe one answer is something like: We decided that one of us would repeat one sentence, the other of us the next, and so on.