More info from the Fleetairarmarchive.net:
No. 870 NAS formed in 1951 by renumbering of No. 803 Sqn. This was a Canadian Sqn and with adaption of US Navy prefixes by the RCN flying units it became VF 870 in November 1952. Disbanded in 1954 it was reformed next year and served until finaly disbanded in September 1962.
No. 871 NAS this was also a Canadian unit formed in May 1951 by renumbering No. 883 NAS. Became VF 871in November 1952. Disbanded in March 1959 and its aircraft and personnel transferred to VF 870.
No. 872 NAS - No. 876 NAS doesn't seems to have been formed.
No. 877 NAS formed at Tanga East Africa in April 1943 as a fighter unit with Hurricane IIB. Moved to Port Reitz, Mombasa with the intention to fly longrange fighter patrols. This plan was cancelled and the Sqn was disbanded in December 1943.
No. 878 NAS formed Lee-on-Solent in March 1943 as a fleet fighter unit with Martlet IV. Embarked on HMS Illustrious in June 1943 for patrols around Iceland. I August the Ship and Sqn sat sail for the Mediterranean and was involved in the Allied landing at Salerno. Sqn disembarked at Port Ellen in October 1943 and re-equipped with Martlet V and transferred to Eglington. Disbanded in january 1945.
No. 879 NAS formed at St. Merryn in October 1942 as a fleet fighter unit with Fulmar I and was based at Charlton Horethorn and New Sarum for Army cooperation (AC). I March 1943 moved to Stretton and re-equipped with Seafire Ib then to Andover as part of No. 36 (AC) Wing. Embarked HMS Attacker in July 1943 for Salerno operations. Upon retuning to the UK it absorbed No. 886 NAS. Returning with HMS Attacker to the Mediterranean in April 1944, it was however based at land in Algeria and Italy and operated in support of the Army. Re-embarked on HMS Attacker in July for support of the landings in Southern France, it also operated in the Aegean. Dis-embarked at Dekheila (Cyprus) in December 1944 and re-equipped with Seafire L.IIC and L. III. I April to the Far East and before VJ-day it operated from HMS Attacker against targets in Malaya.
No. 880 NAS formed Arbroath in January 1941 as a fleet fighter unit intended for the then still uncompleted HMS Indomitable. In july 1941 embarked on HMS Furious for the attack on Petsamo in the Arctic. In October 1941 the Sqn embarked on the completed HMS Indomitable and sailed for the Far East. May 1942 it participated in the Madagascar landings. Efter participation in the Malta Convoys it returned to the UK in August 1942 and re-equipped with Seafire IIC. October 1942 North African landings on HMS Argus, in March 1943 the Sqn returned to HMS Indomitable. Participated in the Sicily landings July 1943. In September it was at Salerno onboard HMS Stalker. From October 1943 to February 1944 it was stationed at Ballyhalbert and Skeabrae. Later embarked on HMS Furious for operations along the Norwegian coast. On 3 April 1944 the Sqn participated in Operation Tungsten the crippeling of the German Battleship Tirpitz. Part of the Sqn formed a composite figher unit at Drem June-August 1944, rest was based on HMS Furious and continued operations against Tirpitz. October-November 1944 on HMS Implaceable operations over Norway. In March 1945 to the Pacific with the HMS Implacable. Operated against Turk Island and the Japanese homeland, disembarked at Schoefields, Australia 25 August 1945 and disbanded 2 weeks later. Reformed as a Canadian Sqn by renumbering No. 825 NAS in May 1951 becoming VS 880 in November 1952 becoming 880 Maritime Recce Sqn in March 1975. Reduced to zero-strength in 1990 but never officially disbanded.
No. 881 NAS formed at Lee-on-Solent in June 1941 as a fleet fighter unit with Martlet I/II. March 1942 to Indian Ocean on HMS Illustrious. Supporting the Madagascar landings it returned to the UK in 1943. July 1943 HMS Furious operations in Norway. November 1943 re-equipped with Wildcat V and until February 1944 participated in the Gibraltar Convoys onboard HMS Pursuer. On 3 April 1944 it participated in Operation Tungsten. July 1944 to the Mediterranean participating in the Landings in Southern France in August. Later it returned to northern waters and operated along the Norwegian Coast until February 1945. In March 1945 to Capetown anboard HMS Pursuer at Wingfield in Capetown the Sqn re-equipped with Hellcat II. On VJ-day it was still at Wingfield and returned to the UK where it was disbanded in October 1945. Reformed as a Canadian Sqn in May 1951 by renumbering No. 826 NAS, became VS 881 in November 1952. Disbanded in july 1959.