To find out how many 5-ounce bags can be filled with 4,000,000 ounces of bite-size cookies, you can divide the total ounces by the ounces per bag:
\[ \text{Number of bags} = \frac{\text{Total ounces}}{\text{Ounces per bag}} = \frac{4,000,000 \text{ ounces}}{5 \text{ ounces/bag}} = 800,000 \text{ bags} \]
Therefore, the company will be able to fill 800,000 bags of cookies.