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.

[171.772, 111.202, -92.623, 156.244, -72.737, -7.002, 150.404, 57.021]

[ 0.362  0.234 -0.195  0.329 -0.153 -0.015  0.317  0.12 ]