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.
[45.802, 15.401, 185.926, -80.439, 177.667, 234.526, -94.138, 245.019, 222.243, 240.158]