The game was almost settled in the first fifteen minutes as the Saxons came out of the blocks quickly and ran in three tries.
Narraway added the fourth although a brief fightback by the Russians made the half time score 28-14.
However, the extreme heat and usual flurry of replacements took their toll in the second half and the intensity fell away a little although England were able to run in three more tries to underline an emphatic win.
England Saxons Head Coach Stuart Lancaster said:
"I'm really pleased with that result. We had one or two errors which let Russia into the match but on the whole it was a good performance under tough conditions."
"You can't fault Russia's effort, they are a tough side and they've done well to come off the back of playing USA last weekend. We have to do the same and backup today's performance against the hosts on Sunday and that begins with getting our recovery right."