Ultracold atoms in our quantum gas microscope offer a fascinating view of the quantum world. With quantum simulations we can experimentally realize and study quantum-mechani- cal model systems that are otherwise extremely difficult to compute on classical computers, but relevant to understanding real world quantum materials. I will give an introduction to this topic and present recent work on realizing fractional quantum Hall physics and on quantum simulations of the doped Hubbard model. Such quantum simulations are becoming the first useful applications of quantum machines.