If you need to cut 'lots of these' as you say, then it is worth making a guide plate from something like 1/4 ply or MDF. Clamp down tight the guide, the work and a piece of sacrificial ply or similar. Don't use one large cutter in one go but rather go full depth with a smaller cutter which will give you tighter corners and allow space for shavings and hairy bits to be removed. Remember that routers go in one direction, you'll get a better, cleaner cut if the bit is rotating one way that the other, (Against the main grain direction or with the grain direction). Go slowly but not so slow that the wood burns.
Some router bits have a ball race which runs around or inside the guide which you must allow for when making the guide. If it is a straight(Un-ball raced cutter) then you can get a simple guide plate that looks like a top hat that fits into the routers' base plate. Both of these work well to do what you are doing. Every time to move the guide to cut another slot, move the sacrificial plate to an uncut piece.
Hope this helps.
Ron.