The area model can be used to visualize and solve division problems. To solve 782 ÷ 2 using the area model, you can start by drawing a rectangle with a length of 782 and a width of 2. Then, you can divide the rectangle into smaller rectangles of equal size until you have a total of 2 rectangles that have a combined area of 782. The area of each rectangle would be the quotient, or the answer to the division problem. In this case, the area of each rectangle would be 391, so 782 ÷ 2 = 391.