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.

[173.37, -45.229, -65.169, 186.618, 91.608, 218.512, -6.016, 19.755]
[ 0.302 -0.079 -0.114  0.325  0.16   0.381 -0.01   0.034]