  Computer simulations allow us to explore non-perturbative phenomena in
physics. This has the potential to help us understand quantum gravity. Finding
a theory of quantum gravity is a hard problem, but in the last decades many
promising and intriguing approaches that utilize or might benefit from using
numerical methods were developed. These approaches are based on very different
ideas and assumptions, yet they face the common challenge to derive predictions
and compare them to data. In March 2018 we held a workshop at the Nordic
Institute for Theoretical Physics (NORDITA) in Stockholm gathering experts in
many different approaches to quantum gravity for a workshop on "Quantum gravity
on the computer". In this article we try to encapsulate some of the discussions
held and talks given during this workshop and combine them with our own
thoughts on why and how numerical approaches will play an important role in
pushing quantum gravity forward. The last section of the article is a road map
providing an outlook of the field and some intentions and goalposts that were
debated in the closing session of the workshop. We hope that it will help to
build a strong numerical community reaching beyond single approaches to combine
our efforts in the search for quantum gravity.
