To eliminate the background surrounding a model in Photoshop, begin by utilizing the Quick Selection Tool to choose the model. Enhance the selection with the "Select and Mask" feature to smooth the borders and adjust details precisely. The Pen Tool can also be employed for greater accuracy when selecting intricate regions. After choosing the model, reverse the selection to emphasize the background, and subsequently erase or mask it. You can enhance the output using layer masks or modifications to achieve a neat cutout.