Hi Jude,
You should soak that cattleya pot in water for a good 30 minutes before you start working on it. Break away the plastic and then remove all of the dead roots (you will know the dead ones because they will still be brittle and dry/ decemated compared to the healthy ones that will be soft and white/green.
You do not need to repot quickly. Most orchids like this one have that have thick roots and pseudobulbes will not be bothered out of the medium and often will be happier where the roots can breath more easily. We pot them up to grow in our homes or greenhouses, but in nature cattleya orchids grow on the sides of trees, rocks, even on wires, etc... Just make sure to water and let it dry off between waterings. Good air movement is key to keeping away pest and disease caused by being too moist for an extended period of time.
Follow this information for dividing and repotting your cattleya: Repotting Orchids | River Valley Orchidworks
cheers,
BD