If this disconnect is outside next to the meter panel and the garage is going to be unattached (you did not say) then you could extend the service. Some meters and disconnects have the ability to accept double lugs. If you do extend your service, it cannot pass through, over or under the main structure.
If you plan to run through the structure to an attached garage, you must follow the feeder rules we discuss here all the time.
If you plan to run through the structure to an attached garage, you must follow the feeder rules we discuss here all the time.