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.

[127.071, -87.562, 94.886, 15.74, 237.652, -11.015, 57.614, 189.309]

[ 0.204 -0.14   0.152  0.025  0.381 -0.018  0.092  0.304]