Solve: Finding the Difference Between 101,705 and 20,176

To solve this problem, we'll execute a vertical subtraction step-by-step:

• Step 1: Align the numbers:

$\begin{array}{c} \phantom{0\ }101705 \\ - \phantom{0}20176 \\ \hline \end{array}$

• Step 2: Start subtracting from the rightmost digit:

  • Subtract the units position: $5 - 6$. We need to borrow because 5 is less than 6:

    • Borrow from the tens place (0 becomes 9 after borrowing), the units digit becomes 15.

    • Now calculate $15 - 6 = 9$.

  • Next, the tens position: $0 - 7$. Again, we need to borrow:

    • Borrow from the hundreds place (7 becomes 6 after borrowing), tens digit becomes 10.

    • Calculate $10 - 7 = 3$.

  • Next, the hundreds position: $6 - 1 = 5$.

  • Next, calculate the thousands position: $0 - 0 = 0$.

  • Finally, subtract the ten-thousands position: $1 - 2$. Need to borrow from the hundred-thousands place (1 becomes 0, and ten-thousands become 10):

    • Now, calculate $10 - 2 = 8$.

• Step 3: Write down the result from each step:

$\begin{array}{c} \phantom{0\ \ }101705 \\ - \phantom{0}20176 \\ \hline \phantom{00\ }81529 \\ \end{array}$

The subtraction gives us the result: $\mathbf{81529}$.

Therefore, the solution to the problem is $81529$.