Having read widely on the subject and talked a lot to Martin Pegler, formerly of the GB Royal Armouries and now resident in the Somme WW1 battlefield area of France, who is probably the greatest living researcher on the histories of 20th century military sniping, German snipers very rarely took exceptionally long distance shots on any battlefield in WW2. That applied to most other participants too as the optics used simply aren't up to what we would regard as long-range nowadays. With most German snipers using a selected KAR98k up to '43 or '44 fitted with the very limited usefulness Z41 1.5-power LER type scope, they were far more hamstrung than their US, Soviet or British equivalents with conventional action mounted 3.5-4.5 power optics.
Later on the Ostfront, most German snipers abandoned the KAR98k and used the preferred Walther designed semi-auto Gewehr 43 (or K43 as it's often called) if they could get hold of one, not a super long-range rifle. Likewise many Soviet snipers especially female ones preferred the scoped version of the 7.62X54R Tokarev SVT-40, a weapon that Pegler describes as having a 300-400 metre maximum effective range in the sniping role.
The outstanding sniper rifle in that theatre throughout 1941-45 was the Soviet Mosin 1891/30 especially with the better top mounted PE scope. Many Germans used captured 91/30 or SVT-40 sniper rifles in preference to their own kit if their superiors were willing to allow this and suitable grade ammunition could be scrounged.