Answer
$89 = 324_{\text{five}}$
Work Step by Step
The place values for base five are $..., 5^3, 5^2, 5^1, 1$.
The place values that are less than or equal to $89$ are $5^2, 5^1, 1$.
Divide $89$ by $5^2$ or $25$:
$89\div 25 = 3$ remainder $14$
Divide the remainder $14$ by $5^1$ or $5$:
$14 \div 5 = 2$ remainder $4$
Divide the remainder $4$ by $1$:
$4 \div 1 = 4$
Thus,
$89 = (3 \times 5^2) + (2 \times 5^1) + (4 \times 1)
\\89 = 324_{\text{five}}$
