Because you have to think about leaving room for the drill when attaching, start on the inside and work your way outward. Attach divider to two shelves.

NOTE: If you don't have a pocket hole jig, you may wish to attach bottom divider (see step 4) first because there won't be room to get a standard drill in between the shelves later on.

Next, attach divider on top. If you don't have a pocket hole jig (recommend getting one, even the tiny one would do the trick here) you could also glue and nail at an angle from both sides to keep in place, or drill holes and secure with wood dowels. There's lots of different options, I just give the easiest.

Now attach the upper shelf, following measurements.

And the remaining dividers. As noted in step 1, the bottom divider will be tricky to get a drill in there if not using pocket holes, so do this first if you don't have a pocket hole jig.

Attach sides to shelves keeping measurements carefully aligned. Measure twice cut (or nail or screw) once right?

Mark the top 1 3/4" in on both ends and attach to top.

Next, add the legs. Note that the legs overextend the top by 3/4" and the side 1x12 by 2 1/2". This is to fit the side shelves (see following diagrams). Test fit shelves and rungs before securing. There's 3/4" gap to top of legs as well, and legs overextend bottom shelf by 3".

Now add the side shelves. I'd just nail and glue these babies in place.

And then the side rungs to keep everything in place.

Finally the front trim - definitely measure and cut to fit here.

For the back, there's a number of different ways you could do this. You could cut the plyood to fit inside the back frame, you could fill in the back shelves with 1x material, or you could be okay with a 3/4" gap and attach plywood to back as shown here - it's up to you. You could even leave the back open if you want.

done deal!