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.

[31.466, 71.825, 75.119, 188.251, 107.155, 117.884]
[0.053 0.121 0.127 0.318 0.181 0.199]