The original three runabouts assigned to Deep Space 9: Rio Grande, Yangtzee Kiang, and Ganges. During the first four seasons, they were being destroyed and replaced at a pace of one per season.
Yangtzee Kiang crashlanded and was damaged beyond repair in "Battle Lines." Replaced by the Orinoco ("The Siege").
Ganges was destroyed in "Armageddon Game." Replaced by the Mekong. ("Whispers")
Mekong was destroyed in "The Die is Cast" trying to escape the Jem'Hadar armada. Replaced by the Rubicon. ("Family Business")
Orinoco was destroyed in "Our Man Bashir". Replaced by the Yukon. ("Sons of Mogh")
That was when I think the writers stopped keeping track with a total five runabouts lost during Season 5. And at some point during Season 4, four runababouts were assinged to the station. The Volga was featured in "Body Parts." Three runabouts were still at the station in "In Purgatory's Shadow" and "By Inferno's Light" (the Rio Grande, the Yukon, and the Volga) even after Worf and Garak took one into the Gamma Quadrant. One could hypothesize that the Rubicon was destroyed at Torga Four ("The Ship"), then its replacement was destroyed at Ajillon Prime ("Nor the Battle to the Strong"), then its replacement destroyed in "The Ascent". But the Rubicon was the runabout featured in "One Little Ship." The only destroyed runabout mentioned by name in Season 5 was the Yukon. The runabout destroyed in "Empok Nor" was not mentioned by name. That could have been the Volga since it was never again mentioned.
The Shenandoah was first featured in "Change of Heart" only to be destroyed later in Season 6 ("Valiant"). Same for the Gander in Season 7 ("Penumbra"). In all, four runabouts were lost battling the Jem'Hadar.
Yangtzee Kiang crashlanded and was damaged beyond repair in "Battle Lines." Replaced by the Orinoco ("The Siege").
Ganges was destroyed in "Armageddon Game." Replaced by the Mekong. ("Whispers")
Mekong was destroyed in "The Die is Cast" trying to escape the Jem'Hadar armada. Replaced by the Rubicon. ("Family Business")
Orinoco was destroyed in "Our Man Bashir". Replaced by the Yukon. ("Sons of Mogh")
That was when I think the writers stopped keeping track with a total five runabouts lost during Season 5. And at some point during Season 4, four runababouts were assinged to the station. The Volga was featured in "Body Parts." Three runabouts were still at the station in "In Purgatory's Shadow" and "By Inferno's Light" (the Rio Grande, the Yukon, and the Volga) even after Worf and Garak took one into the Gamma Quadrant. One could hypothesize that the Rubicon was destroyed at Torga Four ("The Ship"), then its replacement was destroyed at Ajillon Prime ("Nor the Battle to the Strong"), then its replacement destroyed in "The Ascent". But the Rubicon was the runabout featured in "One Little Ship." The only destroyed runabout mentioned by name in Season 5 was the Yukon. The runabout destroyed in "Empok Nor" was not mentioned by name. That could have been the Volga since it was never again mentioned.
The Shenandoah was first featured in "Change of Heart" only to be destroyed later in Season 6 ("Valiant"). Same for the Gander in Season 7 ("Penumbra"). In all, four runabouts were lost battling the Jem'Hadar.