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.

[107.689, 83.085, 181.295, -98.425, 194.776, 206.179]
[ 0.16 0.123 0.269 -0.146 0.289 0.306]