What is the quotient?
$6 \longdiv { 5 3 8 . 0 0 }$
$\frac{-480}{58}$
-54
$\begin{array}{r}40 \\ -36 \\ \hline 40\end{array}$
$-36$
A. $89 . \overline{5}$
B. 89.6
C. $89 . \overline{6}$
D. 89.7
Answer (2)
Perform long division to find the quotient.
Divide 538 by 6.
The result is 89.666... = 89. 6 .
The quotient is 89. 6 .
Explanation
Analyze the problem We are given a long division problem that has been partially completed and asked to find the quotient. The long division is 5386 . The steps shown are subtracting 480 from 538 , then subtracting 54 from 58 , then subtracting 36 from 40 twice.
Continue the long division We can continue the long division as follows: 6 ) 538.00 − 480
58 − 54 40 − 36 40 − 36 4 We see that the remainder is 4, so the next digit will be 40/6 = 6 with remainder 4, so the quotient will be 89.666... = 89. 6
Divide directly Alternatively, we can divide 538 by 6 directly. The result of the operation is 538/6 = 89.66666666666667 , which is 89. 6 .
State the answer Therefore, the quotient is 89. 6 .
Examples
Long division is a fundamental arithmetic operation used to divide large numbers into smaller, equal parts. For example, if you have 538 apples and want to divide them equally among 6 people, long division helps you determine that each person gets 89 apples, and there are 4 apples left over. This concept is also useful in more complex scenarios, such as calculating unit prices in stores or determining how many equal-sized portions you can get from a large quantity of ingredients while cooking.
The quotient of 6 538 is 89. 6 (89.666...). Thus, the correct answer is option C: 89.6 with the periodic notation. This means that the digit 6 repeats indefinitely.
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