How should I complete the installation of my flooring where a gap remains against the wall?
I ended up ripping the laminate boards lengthwise using my jigsaw and fitting them in like Jim suggested. I used some cardboard to cut out the shape that the long pieces should be and then drew across the edge of the cardboard piece on the laminate boards. It worked out quite well I think and I hope there won’t be any structural support issues. 

The expansion gap between the wall and laminate boards is now a lot smaller.