In order to make the steps of Shor's algorithm more concrete to me I made a program which simulates the operation of a quantum computer performing Shor's algorithm. As noted by Feynman and others it is impossible to simulate a quantum mechanical system on a classical computing device without incurring exponential slowdown, thus the simulation is only tolerable to observe for relatively small numbers. The simulation implements all of the steps in Shor's algorithm, and successfully factors numbers. The code is written in C++ and can be found in Appendix D.