How to create an even distribution over multiple sets?

This is for a hobby project and will be implemented with Python, but this is not really important. I'm mostly looking for a good algorithm.

I want to host a racing event with more than one driver (num_drivers). The event has more than one races (num_races), and I want each driver to have a fair chance according to their position at the start using somewhat random positioning. The problem is, which starting positions do I assign to each driver for each race?

An example: for an event with num_races=3 and num_drivers=4 (named "A" to "D") a pretty good setup would be

Race 1: A B C D
Race 2: C D B A
Race 3: D B A C

The pole position would have a value of 1, the second position 2, and so on. So this setup gives quite equal values to each driver:

A: 1+4+3 = 8
B: 2+3+2 = 7
C: 3+1+4 = 8
D: 4+2+1 = 7

In the end the sum of positions of each driver should ideally be the same as for every other driver. What would be a good generic algorithm (in pseudo code) for my problem when the number of drivers and number of races can vary? Is there even already an algorithm somewhere to look at?