Authorities normally requiring notarized driving license translation
from citizens of the Russian Federation:

Traffic police bodies – for entitlement to drive a vehicle abroad;
Rental companies – to rent an automobile.

from citizens of other countries in the Russian Federation:

Traffic police bodies – for entitlement to drive a vehicle in the Russian Federation, if the driving license is a national (or an old Soviet) document and does not include Latin scripts.

What should you know about notarized translation of a driving license
We always ask the customers to provide us a sample of their full name spelling in English (according to their passport). Otherwise, the rules of transliteration are used in translation according to Order of the Federal Migration Service (Russian FMS) dated 3 February 2010 N 26, Moscow.