The Event Horizon Telescope (EHT) is a global network of millimeter-wavelength radio telescopes that uses Very Long Baseline Interferometry (VLBI) to synthesize the resolution of a single, Earth-sized telescope. In April 2017 the EHT observed the black hole at the center of the giant galaxy M87. Turning these observations into an image required the development of new software tools across the global EHT collaboration, and relied on a wealth of open-source software made available to the broader scientific community. In this talk, I will walk through the entire EHT experiment from the individual telescopes that record the data through the calibration, imaging, and interpretation of the observations that lead to the first-ever direct image of a black hole released to the world on April 10th of this year.