Summarize:

Make sure that the stain remover and water are thoroughly mixed.  This method is best used on bears with a voice box. The oxygen stain remover will help get rid of any difficult spots, but a mild detergent will also work. Completely cover the spot with the water and stain remover liquid. Wait 5-10 minutes for the mixture to absorb, but don’t let it dry completely. Use small, circular motions to rub the mixture into the spot. If it is still visible, repeat the first four steps.  You can also use a paper towel for blotting. Depending on the nature of each spot and how much the stain has soaked in, you may need to repeat the process. You may blot the bear until it is dry, or you can leave it to air dry.
Mix a quarter capful of oxygen stain remover into a bowl of warm water. Saturate the dirty spot with the mixture. Rub the mixture into the bear with a clean towel. Blot the spot with a clean towel. Rinse the spot with cold water and blot again with a clean towel.