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.
[242.15, 46.721, -59.603, -64.728, 232.898, -24.764, 123.841, 218.249, 76.796, 112.559]