Given the task definition and input, reply with output. 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.

[113.564, -24.778, 28.792, 144.993, -63.973, 125.941, -56.14, -85.393]

[ 0.621 -0.135  0.157  0.792 -0.35   0.688 -0.307 -0.467]