#### Answer

$$3.77\times 10^{10}$$

#### Work Step by Step

In scientific notation, the number of significant digits is the number of digits in the leading number between $1$ and $10$. The final answer should have the same number of significant digits as the least number of significant digits in any of the numbers involved in the division:
$8.90\times 10^{8}$ has $3$ significant digits
$2.36\times 10^{-2}$ has $3$ significant digits.
Therefore, the final answer should be rounded to have $3$ significant digits.
Rearrange factors and divide:
$$\frac{8.90\times 10^{8}}{2.36\times 10^{-2}}=\bigg(\frac{8.90}{2.36}\bigg)\bigg(\frac{10^{8}}{10^{-2}}\bigg)=3.77\times 10^{10}.$$