Answer
$7093 = 26452_{\text{seven}}$
Work Step by Step
The place values for base seven are $...,7^5, 7^4, 7^3, 7^2, 7^1, 1$.
The place values that are less than or equal to $7093$ are $7^4, 7^3, 7^2, 7^1, 1$.
Divide $7093$ by $7^4$ or $2401$:
$7093 \div 2041 = 2$ remainder $2291$
Divide the remainder $2291$ by $7^3$ or $343$:
$2291 \div 343 =6$ remainder $233$
Divide the remainder $233$ by $7^2$ or $49$:
$233 \div 49 = 4$ remainder $37$ Divide the remainder $37$ by $7^1$ or $7$: $37 \div 7 = 5$ remainder $2$
Divide the remainder $2$ by $1$:
$2 \div 1 = 2$
Thus,
$7093 = (2 \times 7^4) + (6 \times 7^3) + (4 \times 7^2) +(5 \times 7^1)+ (2 \times 1)
\\7093 = 26452_{\text{seven}}$
