To evaluate \( 175.44 \div 12 \), we can follow these steps:
### Step 1: Set up the division
We will divide \( 175.44 \) by \( 12 \). Write it in long division format, with \( 175.44 \) under the division bar and \( 12 \) outside.
### Step 2: Divide the whole number part
Start with the whole number part, which is \( 175 \). We need to see how many times \( 12 \) can fit into \( 175 \).
- \( 12 \times 1 = 12 \)
- \( 12 \times 2 = 24 \)
- \( 12 \times 3 = 36 \)
- \( 12 \times 4 = 48 \)
- \( 12 \times 5 = 60 \)
- \( 12 \times 6 = 72 \)
- \( 12 \times 7 = 84 \)
- \( 12 \times 8 = 96 \)
- \( 12 \times 9 = 108 \)
- \( 12 \times 10 = 120 \)
The largest multiple of \( 12 \) that fits into \( 175 \) is \( 12 \times 14 = 168 \).
### Step 3: Subtract and bring down the next digit
Now, subtract \( 168 \) from \( 175 \):
\[
175 - 168 = 7
\]
Next, bring down the next digit, which is \( 4 \), making it \( 74 \).
### Step 4: Divide the new number
Now, see how many times \( 12 \) fits into \( 74 \).
- \( 12 \times 6 = 72 \)
So, \( 12 \) fits \( 6 \) times into \( 74 \).
### Step 5: Subtract again
Subtract \( 72 \) from \( 74 \):
\[
74 - 72 = 2
\]
Next, bring down the next digit, which is \( 0 \) (since we are dealing with decimals, we can add a zero), making it \( 20 \).
### Step 6: Divide the new number again
Now, see how many times \( 12 \) fits into \( 20 \).
- \( 12 \times 1 = 12 \)
So, \( 12 \) fits \( 1 \) time into \( 20 \).
### Step 7: Subtract once more
Subtract \( 12 \) from \( 20 \):
\[
20 - 12 = 8
\]
Next, bring down another \( 0 \), making it \( 80 \).
### Step 8: Final division
Now, see how many times \( 12 \) fits into \( 80 \).
- \( 12 \times 6 = 72 \)
So, \( 12 \) fits \( 6 \) times into \( 80 \).
### Step 9: Subtract and conclude
Subtract \( 72 \) from \( 80 \):
\[
80 - 72 = 8
\]
Since we have brought down all the digits, we can stop here. The result of the division is:
\[
14.62
\]
### Final Answer
Thus, \( 175.44 \div 12 = 14.62 \).
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