This initial study uses computer simulation to explore the possibility that the asteroid belt observed today resulted from the breakup of a dwarf planet a few thousand years ago. It is assumed that a catastrophic event occurred, and a computer model of the resulting fragmented dwarf planet is developed. The simulation has two parts. First a model of a planet collision is used to provide a starting point. The output file contains the position, velocity, and size of each of more than 16,000 fragments representing an exploded dwarf planet. In the second part of the simulation, each of the fragments is tracked as it propagates under the gravitational influence of the other fragments, the Sun and the planet Jupiter. In this initial study, collisions are not included. The simulation is run out to 15.75 orbit periods of the original dwarf planet or nearly 82 years in 120-second steps. It is shown that a surprising uniformity of the fragments forms around the entire orbit in this short period of time.