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.
[53.511, 213.382, 24.81, 106.016, 139.826, -55.736, -81.682, 97.277, -73.84, -59.964]