Alternatively you could cover the overhang with plywood to make it level.
How to install wood laminate flooring on stairs.
However installing laminate flooring on your stairs is a completely different matter.
Apply flooring glue of the back of the boards and place them on the steps.
You have to ensure that there are no gaps and spaces in the flooring and it is complete and perfect in every way.
Nail the boards into place with finishing nails.
Cut the flooring boards to size using a circular saw.
You need to take care of the treads risers and stair noses which can get a bit complicated at times.