So after many years it was time to replace my battery of my Macbook Pro (Retina, 13-inch, Late 2013). Model MacBookPro11,1. Thanks to the people at iFixit I was able to order a replacement battery and some spare time to keep it running for a few more years. Luckily this model has no issues with its keyboard. For most things I do its still fast enough.
Here is a list of pictures during replacement together with my friend maartentamboer.
And luckily it worked like a charm!