Power a large solenoid from a microcontroller?
Your MOSFET has a low on resistance, but only when its gate voltage is sufficiently high:



With the much lower voltage you use to drive the MOSFET (5V) your will only turn it partially on, so some significant current will flow, but most of the 60V voltage will be dropped by the MOSFET, hence it will be killed.

You must find a way to drive the gate with 0-12V. One way it to use a separate 12V supply and a MOSFET gate driver chip. Google will help you find plenty of those. Or use a transistor buffer (but that will make the switching slower, with more risk of still burning your MOSFET).

PS what current does that solenoid draw?