If you don't plan on eating your rib-eye steak the same day you order it, you'll be able to store it in your refrigerator slightly longer than other steak varieties. When you keep it in the plastic or butcher paper it was packaged in at the supermarket, your rib-eye steak should stay fresh in the fridge for up to five days. It may last longer if you put it in an airtight container.  When you want to keep your rib-eye steak fresh longer, put it in an airtight container in the freezer. This will keep it fresh for six to 12 months.