In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.

[189.901, 189.045, 212.293, -9.269, -23.267, 114.746, -56.771, 177.316]
[ 0.239  0.238  0.267 -0.012 -0.029  0.145 -0.072  0.223]