Question Find the quotient using the traditional long division algorithm: .
Studdy Solution
STEP 1
Assumptions
1. We are dividing 3,482 by 9 using the traditional long division algorithm.
2. We are looking for the quotient of the division.
STEP 2
First, we start by dividing the first digit of the dividend (3,482) by the divisor (9).
9 \longdiv 3
STEP 3
Since 9 cannot divide into 3, we move to the next digit, making the number 34.
9 \longdiv 34
STEP 4
Now, we divide 34 by 9. The largest multiple of 9 that is less than or equal to 34 is 27 (which is 9 times 3). So, we write 3 above the line, and subtract 27 from 34 below the line.
\begin{array}{r|l}
3 & 9 \longdiv 3,482 \\
-27 & \\
\hline
7 &
\end{array}
STEP 5
Next, we bring down the next digit from the dividend, which is 8, making the new number 78.
\begin{array}{r|l}
3 & 9 \longdiv 3,482 \\
-27 & \\
\hline
78 &
\end{array}
STEP 6
Now, we divide 78 by 9. The largest multiple of 9 that is less than or equal to 78 is 72 (which is 9 times 8). So, we write 8 above the line, and subtract 72 from 78 below the line.
\begin{array}{r|l}
38 & 9 \longdiv 3,482 \\
-27 & \\
\hline
78 & \\
-72 & \\
\hline
6 &
\end{array}
STEP 7
Next, we bring down the last digit from the dividend, which is 2, making the new number 62.
\begin{array}{r|l}
38 & 9 \longdiv 3,482 \\
-27 & \\
\hline
78 & \\
-72 & \\
\hline
62 &
\end{array}
STEP 8
Finally, we divide 62 by 9. The largest multiple of 9 that is less than or equal to 62 is 54 (which is 9 times 6). So, we write 6 above the line, and subtract 54 from 62 below the line.
\begin{array}{r|l}
386 & 9 \longdiv 3,482 \\
-27 & \\
\hline
78 & \\
-72 & \\
\hline
62 & \\
-54 & \\
\hline
8 &
\end{array}
STEP 9
Since there are no more digits to bring down from the dividend, we have found our quotient. The quotient of 3,482 divided by 9 is 386, with a remainder of 8.
The quotient is 386.
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