You can set up multiple output modules after you have added your composition to the After Effects render queue. Simply choose “Composition > Add Output Module” , they can be used to render different file formats at the same time (for example an image sequence in full resolution and a small Quicktime movie for previewing) – or multiple crops out of one large comp.
If you want your 7677 x 1440 pixel project split up into three pieces, you would set up three output modules with different crop settings (for the leftmost part the crop right would be set to 5118 and crop left to 0, for the middle crop left would be 2559 and crop right 2559 and for the right part crop left would be 5118 and crop right 0). When working in resolutions larger than my screen i usually add an additional output module where the whole comp is stretched to the width of my monitor and rendered out as a Quicktime that i can use to check for errors and show to my client.
Hope this makes sense.