Locate the scuffed areas and apply a generous amount of polish to your cotton cloth.
Most shoe polish will easily stain, clothing, carpet, and generally anything it gets on. It's recommended putting a towel, or disposable materials underneath to prevent damage.
Using your cotton cloth, carefully dip it in water, then firmly press the cloth where the polish is applied.
Buff the location.
You do not need to use a separate cloth for this process. In fact its better to use the same cloth for both the water and the shoe shine.
A good strategy when buffing is to rotate the cloth in little circles while pressing against the shoe. You will need to spend approximately 2-3 minutes, for every inch of material, or until satisfied.