CRJ-200 pilot reported failure of flaps to extend normally during approach.

Narrative

On the morning of Date; we encountered a flap fail at 6 degrees while on the ILS XXC into ZZZ. I was the PM and the Captain was the PF. We were level at 4;000 feet getting vectored off the ZZZZZ6 arrival and had intercepted the localizer for XXC. Approach control told us to fly 'speed our discretion' and to contact tower at the FAF. We were decelerating to 200 KIAS. Once below 200; the Captain called for Flaps 8; 180. I moved the flap lever to 8 degrees and we received a caution chime and message for 'Flap Fail'. Both the Captain and I saw that the flaps failed at 6.I made contact with the approach controller informing him that we have an issue with the flaps; we would need to cancel the approach; and requested box vectors to stay near the airport. He responded by asking if we would be [requesting priority handling]. The Captain and I agreed that we would be and I relayed that to ATC. Approach responded by telling us to climb and maintain 5;000. The controller then asked for fuel remaining and souls on board and I replied with 'XX souls; 3;880 lbs of fuel'.Once on our vectors; the Captain called for the Flap Fail QRH. I read through the notes and we accomplished each step as we got to it. The Captain sent an ACARS message to dispatch letting them know of our situation. Dispatch responded with a landing distance of 7;150 feet. I calculated our Vref speed using the 47;000 lb card at flaps 0 which came out to 171 KIAS. I asked the Captain if he would like to review anything we had just done and we both agreed we were ready to rejoin the approach.The Captain informed the flight attendant of the situation and followed that up with an announcement to the passengers. I informed ATC that we were ready to rejoin the approach and to pass along to the tower controller that we would roll to the end of the runway to have ARFF inspect us there if needed. The approach and landing continued with no other incident. I made contact with the rescue vehicles and informed them that no assistance was necessary. BTMS were all indicating green. They then followed us to the gate and we shut down as normal. On the post flight inspection; I did not notice any damage to the flaps.