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We can write 16 as the product of 3 and 5 with a remainder of 1: $$16 = 3 \times 5 + 1$$

Therefore, we can write 16 divided by 3 as a mixed number as:

$$\frac{16}{3} = 5\frac{1}{3}$$

or as an improper fraction in simplest form as:

$$\frac{16}{3} = \frac{15}{3} + \frac{1}{3} = 5\frac{1}{3} = \frac{5\times3}{1\times3}+\frac{1}{3}=\frac{16}{3}$$