Question

\\10 \div 5\\
\\\

$$\begin{array}{r} 3 \\\\ 5 \\overline{\\smash{)}10} \\\\ -15 \\\\ \\hline 5 \\end{array}$$

= 5\\

Explanation:

Identify the division problem

$$ 10 \div 5 $$

Calculate the quotient

$$ 10 \div 5 = 2 $$

Identify the error in the handwritten work

The handwritten work incorrectly places \(3\) as the quotient, calculates \(3 \times 5 = 15\), subtracts \(15\) from \(10\) to get a remainder of \(5\), and concludes that \(10 \div 5 = 5\). The correct quotient is \(2\) with a remainder of \(0\).

Answer:

\(10 \div 5 = 2\)