Question

continue dividing on the algorithm. 9 ones is equivalent to 90 tenths. divide 90 tenths by 12 ones, then multiply and subtract to show how many tenths you have left.
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$$\begin{array}{r}0.\\square\\\\12\\overline{)9.0}\\\\-\\underline{8\\ \\ 4}\\\\6\\end{array}$$

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Explanation:

Step1: Determine the quotient digit

We need to divide 90 tenths (which is 9.0 when considering the decimal) by 12. We find how many times 12 goes into 90. Since \(12\times7 = 84\) and \(12\times8=96\) (which is too big), the quotient digit in the tenths place is 7.

Step2: Verify the subtraction

After multiplying 12 by 7 to get 84, we subtract 84 from 90. \(90 - 84=6\), which matches the remainder shown. So the digit in the tenths place of the quotient is 7.

Answer:

7