Set up the long division.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Set up the long division.
We need to divide 4 by 5. Since 4 is less than 5, we will get a decimal answer.
$$
\begin{array}{r} 0. \\ 5 \overline{\smash{)} 4.0} \\ \end{array}
$$
Step 2: Divide the first digit (or group of digits) by the divisor.
5 does not go into 4. So, we place a 0 in the quotient above the 4 and add a decimal point. Then, we add a 0 to the 4 to make it 40, effectively dividing 40 tenths by 5.
$$
\begin{array}{r} 0.8 \\ 5 \overline{\smash{)} 4.0} \\ \end{array}
$$
Step 3: Perform the division.
Divide 40 by 5.
$$40 \div 5 = 8$$
Place the 8 in the quotient above the 0.
$$
\begin{array}{r} 0.8 \\ 5 \overline{\smash{)} 4.0} \\ -40 \\ \hline \\ \end{array}
$$
Step 4: Multiply the quotient digit by the divisor and subtract.
Multiply 8 by 5:
$$8 \times 5 = 40$$
Subtract 40 from 40:
$$40 - 40 = 0$$
$$
\begin{array}{r} 0.8 \\ 5 \overline{\smash{)} 4.0} \\ -40 \\ \hline 0 \\ \end{array}
$$
The remainder is 0, so the division is complete.
The final answer is $\boxed{\text{0.8}}$.
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