Once the recording is in, only the last take will be visible in arrangement view, so you have to cut it up to align all the different passes as it. It can feel like a pain to copy/paste this around to get everything in order but it can go really quick if you make use of a few shortcuts. Start with cmd + t to create a blank track, hold option & drag the recording into the new track to create a copy.

Take a look at the clip view of the copy & you'll see that the loop bracket, engaged or not, defines the exact length of the take, not the full recording. We'll use this to our advantage - drag the end of the loop bracket back to the start marker of the current clip. Now the loop bracket will perfectly surround the previous take & by turning "loop" on & off the active portion of the recording will snap to the previous take. Repeat this process for as many takes as you recorded in your loop.