Question

caleb uses the standard algorithm to find 438 ÷ 6. part of his work is shown. what is the next digit in the quotient? the long - division is shown as \\(\

$$\begin{array}{r}7? \\\\ 6\\overline{)438} \\\\ \\underline{-\\ 42\\ } \\\\ 18\\end{array}$$

\\)

Explanation:

Step1: Analyze the division process

We have the division \(438\div6\). After subtracting \(42\) (which is \(6\times7\)) from \(43\) (the first two digits of the dividend), we get a remainder of \(1\), and then we bring down the \(8\) to make the new dividend part \(18\).

Step2: Find the next digit in the quotient

We need to find how many times \(6\) goes into \(18\). We calculate \(18\div6\).
Since \(6\times3 = 18\), the next digit in the quotient is \(3\).

Answer:

\(3\)