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The clay will separate from the sediment and be suspended in the water. The ‘clay water’ will float on top of the sediment. Be careful not to shake the container or stir the sediment that now rests at the bottom. Be careful not to pour any sediment into your new container. Once you see the sediment reach the lip of the original container stop pouring. Once you have poured off the clay water, you can discard the sediment. Add water, stir the mixture, let it set, and pour the clay water into another container. Each time you do this, the clay will be more pure. Ideally, you will continue the process until you see no sediment at the bottom.

Summary:
Let the mixture sit. Pour the clay water into another container. Repeat this process four to five times.