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.

[228.711, 65.409, 196.92, -77.355, 201.953, 116.793, -69.059, 234.881]
[ 0.255  0.073  0.219 -0.086  0.225  0.13  -0.077  0.261]