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.
[118.684, -39.813, 56.392, -8.094, 209.156, -54.652, -65.49, -0.83, 84.123, 234.904]