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.

[112.944, 107.881, -41.494, 238.657, 126.319, 187.929, 143.552, 52.606]

[ 0.122  0.116 -0.045  0.257  0.136  0.202  0.155  0.057]