Question

1. \\(4\enclose{longdiv}{5.728}\\)

Explanation:

Step1: Divide the first digit

Divide 5 by 4. \( 5 \div 4 = 1 \) with a remainder of 1. Write 1 above the 5.
\[

$$\begin{array}{r} 1 \\ 4 \enclose{longdiv}{5.728} \\ \end{array}$$

\]
Multiply 4 by 1: \( 4 \times 1 = 4 \). Subtract: \( 5 - 4 = 1 \). Bring down the next digit (7) to make 17.

Step2: Divide the second digit

Divide 17 by 4. \( 17 \div 4 = 4 \) with a remainder of 1. Write 4 above the 7.
\[

$$\begin{array}{r} 1.4 \\ 4 \enclose{longdiv}{5.728} \\ \underline{4\phantom{.728}} \\ 1\phantom{.}7 \\ \underline{1\phantom{.}6} \\ 1\phantom{.} \\ \end{array}$$

\]
Multiply 4 by 4: \( 4 \times 4 = 16 \). Subtract: \( 17 - 16 = 1 \). Bring down the next digit (2) to make 12.

Step3: Divide the third digit

Divide 12 by 4. \( 12 \div 4 = 3 \) with a remainder of 0. Write 3 above the 2.
\[

$$\begin{array}{r} 1.43 \\ 4 \enclose{longdiv}{5.728} \\ \underline{4\phantom{.728}} \\ 1\phantom{.}7 \\ \underline{1\phantom{.}6} \\ 1\phantom{.}2 \\ \underline{1\phantom{.}2} \\ 0\phantom{.} \\ \end{array}$$

\]
Multiply 4 by 3: \( 4 \times 3 = 12 \). Subtract: \( 12 - 12 = 0 \). Bring down the next digit (8) to make 8.

Step4: Divide the fourth digit

Divide 8 by 4. \( 8 \div 4 = 2 \) with a remainder of 0. Write 2 above the 8.
\[

$$\begin{array}{r} 1.432 \\ 4 \enclose{longdiv}{5.728} \\ \underline{4\phantom{.728}} \\ 1\phantom{.}7 \\ \underline{1\phantom{.}6} \\ 1\phantom{.}2 \\ \underline{1\phantom{.}2} \\ 0\phantom{.}8 \\ \underline{0\phantom{.}8} \\ 0 \\ \end{array}$$

\]

Answer:

\( 5.728 \div 4 = 1.432 \)