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.

[208.697, 92.59, -19.039, -31.197, -34.244, 17.834, 161.765, 226.42]
[ 0.335  0.149 -0.031 -0.05  -0.055  0.029  0.26   0.364]