Subtract 667 - 89: Vertical Format Solution Guide

$\begin{aligned} &667 \\ -& \\ &~~89 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve $667 - 89$, we perform vertical subtraction by aligning the numbers by place value:

• Step 1: Start with the units column. Subtract $9$ from $7$. Since $7 < 9$, we need to borrow from the tens column. Change $6$ in the tens column to $5$ and add $10$ to the units column, making it $17$. Now, subtract: $17 - 9 = 8$.
• Step 2: Move to the tens column, where we borrowed from $6$, changing it to $5$. Now subtract $8$ from $5$. Since $5 < 8$, we need to borrow from the hundreds column. Change $6$ in the hundreds column to $5$ and add $10$ to the tens column, making it $15$. Now, subtract: $15 - 8 = 7$.
• Step 3: Finally, in the hundreds column: Subtract $0$ from $5$, leaving $5$.

Therefore, the solution to $667 - 89$ is $\mathbf{578}$.

Given the multiple-choice options, the correct choice is option 2: $578$.