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QUESTION IMAGE

120 130 140 150 160 170 180 190 200 210 220 \\(\\begin{array}{r}01\\box…

Question

120 130 140 150 160 170 180 190 200 210 220 \\(\

$$\begin{array}{r}01\\boxed{?}\\\\12\\enclose{longdiv}{214}\\\\-000\\\\\\hline214\\\\-120\\\\\\hline94\\end{array}$$

\\) 0 1 2 3 4 5 6 7 8 9

Explanation:

Step1: Identify division components

We have the long division $214 \div 12$. First, calculate $12 \times 10 = 120$, subtract this from 214:
$214 - 120 = 94$

Step2: Find the missing digit

Now, we need to find the units digit of the quotient such that $12 \times \text{digit}$ is a number we subtract from 94 (or aligns with the division step). The quotient so far is 1 (tens place), and we need the units digit. We know $12 \times 7 = 84$, and $94 - 84 = 10$, but looking at the structure, the missing digit is the units digit of the quotient that makes the partial subtraction valid. The full quotient is $17$ (since $12 \times 17 = 204$, $214-204=10$), so the missing digit in the quotient's units place is 7.

Answer:

7