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Use an edge sander. Start with 36-grit. Sand in a clockwise zigzag pattern. Repeat with finer sandpaper. Vacuum up the dust.
These handheld tools allow you to reach right against the edge of the wall. If using an orbital sander, you probably already reached the walls. In this case, you can skip this section, and remove the finish at the corners with any handheld sander. For this small remaining area, you may be able to skip some of the steps you used on the whole floor. That said, you will need to start with a coarse grit to remove the old finish. Move the edge sander back and forth along the wall in small triangular movements. This is less likely to leave marks than a side-to-side motion. Most tools are designed so moving right (clockwise) along the wall is easier than the other direction. You can now skip straight to 80-grit sandpaper. Sand carefully until the edge matches the rest of the floor. If you want to finish with 100-grit sandpaper, you'll need special techniques to avoid burning the floor and paper. You'll need a sander with a slow speed setting, and preferably an "open coat" sandpaper. Your floor is now ready to be stained and/or waxed. Try to keep dirt, abrasives, and heavy objects off the floor until it is finished.