Step 1: Supplies Needed
soft cotton cloth
steel wool (###) in the example depends on the project
Step 2: Safety and Caution
Even if it seems compatible, laquer thinner will cause damage if you oversaturate the area. Work lightly and in a small section at a time constantly checking that you are not causing damage.
Step 3: Step one
Step 4: Step two
I normally would not suggest sandpaper except that I am using it on this particular project. There were some pretty dark marker stains that penetrated where no finish was present to act as a barrier. Since I am going to restain the cabinet I am going a step further and sanding some of the particularly nasty spots. After all, not one side of the three tables was spared marker, pen or crayola damage. If possible, I will update with a picture of the table stained and finished.
I hope this was helpful. Please let me know if you have any comments or questions. Thanks!