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.

[191.825, 119.655, 199.961, 153.227, 83.35, 71.106, 202.893, 175.926]
[0.16  0.1   0.167 0.128 0.07  0.059 0.169 0.147]