Yes, the CPU will work in the motherboard, it will probably just need a BIOS update beforehand. You can download the latest BIOS for the h110m-r
here. Extract the .CAP file onto a flash drive and use the tool in your BIOS. If you need any help with any step in this process, feel free to ask.
EDIT(!): As Calvin7 said, your current processor requires the same BIOS version, so you will not need to update the BIOS after all. You should just be able to install the CPU and be fine.