Maybe this will help you visualize it.
Do you remember making rock candy? So you take your sugar (solute) and add it to boiling water (solvent). If you don't use boiling water, there is only so much sugar that will dissolve into solution. By boiling it, the solubility (how well it dissolves) increases. This greater solubility means there is a saturated solution at 100°c. As the solution cools slowly the crystals (precipitate) form large and classical crystal shape. Sometimes crystals won't form, this is what you would find as a super saturated solution in standard conditions.