1. A fluorescence observation apparatus comprising: an illumination section comprising a light source that radiates excitation light and illumination light to a subject; a fluorescence image acquisition section that acquires a fluorescence image by capturing fluorescence generated in the subject by the radiation of the excitation light from the light source; a reference image acquisition section that acquires a reference image by capturing reflected light returned from the subject by the radiation of the illumination light from the light source; a division image generation section that generates a division image by dividing an image based on the fluorescence image by an image based on the reference image; a display section that displays a corrected fluorescence image based on the division image generated by the division image generation section; a correction processing unit that applies correction processing to at least one of the reference image and the fluorescence image and/or to the division image prior to the generation of the division image by the division image generation section or prior to the display of the corrected fluorescence image by the display section; an observation condition determination section that determines observation conditions of the subject; and a correction condition setting section that sets parameters regarding the correction processing by the correction processing section according to the observation conditions determined by the observation condition determination section.