Final answer:
When electrons come into contact with a conductor, they redistribute to establish electrostatic equilibrium, spreading along the surface until the internal electric field is zero.
Step-by-step explanation:
When a stored charge of electrons comes into contact with a conductor, the free charges within the conductor respond to establish a state of electrostatic equilibrium. As conductors contain free charges that move easily, the excess charge on the conductor is quickly distributed such that like charges repel each other and spread out over the outer surface. This repulsion of similar charges is due to the electrical forces within the conductor that work to eliminate any electrical field within it, leading to a scenario where the electric field inside the conductor vanishes, creating static equilibrium. When two conductors touch, they share the total charge evenly if they are identical.