Why does charge on a conductor reside only on it's surface?

According to Gauss' theorem, electric field E inside a conductor is zero. Since E is zero, we say that there is no charge inside the conductor. In detail, when we place a conductor in an electric field, the force of electric field (F=Que) pushes the negative ions on opposite of the external field. In the direction of electric field, positive charge is INDUCED. When both internal field (due to aparted positive and negative charges) and external field E become equal, the motion of charges inside the conductor stops. Then the charges are stationery on the surface.