If you want to refine silver without buying equipment, you can do it chemically. You'll need baking soda, pancake syrup (Karo brand syrup, which is dextrose), drain cleaner (lye), water, buckets, wooden or plastic spoons and some other ingredients. Sounds like baking a cake, doesn't it? Well take precautions and do it out-of-doors, because one of the "other ingredients" is nitric acid. We have complete online instructions
on how to refine silver using the acid method.