We begin with an insoluble solid and a liquid. Let's take a mixture of salt, sand and water. Salt dissolves in water, however the sand does not.
Pour the mixture into the filter funnel. When you pour the mixture into a filter funnel lined with filter paper, the sand will be caught by the filter paper and the water with salt dissolved will drip through.
The separation is complete. The liquid (salt solution) and solid (sand) are separated.