Given the task definition and input, reply with output. 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.

[105.163, -74.682, 77.054, -40.58, -57.303, 115.182]

[ 0.842 -0.598  0.617 -0.325 -0.459  0.923]