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.
[183.515, -36.878, 245.413, -87.921, -95.121, 1.908, 189.943, 232.05, 1.032, 111.222]