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.
[195.536, 173.227, 5.71, 13.925, 171.19, 223.891, 73.267, 37.927, 240.286, 39.036]