Divide 0.5124 by 12.

Answer

To divide 0.5124 by 12 using the long division method, follow these steps:

### Step 1: Set up the division
We want to divide 0.5124 by 12. Since we are dividing a decimal by a whole number, we can set it up as follows:

```
________
12 | 0.5124
```

### Step 2: Handle the leading zeros
Since 12 cannot divide 0, we write 0 above the division line:

```
0
________
12 | 0.5124
```

### Step 3: Consider the first digit
Next, we look at the first digit after the decimal, which is 5. Since 12 cannot divide 5, we add another 0 to the quotient:

```
0.0
________
12 | 0.5124
```

### Step 4: Consider the first two digits (51)
Now we consider the first two digits, which is 51. We need to find how many times 12 can go into 51.

12 goes into 51 four times (since 12 x 4 = 48). We write 4 above the division line:

```
0.04
________
12 | 0.5124
-48
-----
3
```

### Step 5: Bring down the next digit (2)
Now, we subtract 48 from 51, which leaves us with 3. We then bring down the next digit, which is 2, making it 32:

```
0.04
________
12 | 0.5124
-48
-----
32
```

### Step 6: Divide 32 by 12
Next, we divide 32 by 12. 12 goes into 32 two times (since 12 x 2 = 24). We write 2 above the division line:

```
0.042
________
12 | 0.5124
-48
-----
32
-24
-----
8
```

### Step 7: Bring down the last digit (4)
Now, we subtract 24 from 32, which leaves us with 8. We then bring down the last digit, which is 4, making it 84:

```
0.042
________
12 | 0.5124
-48
-----
32
-24
-----
84
```

### Step 8: Divide 84 by 12
Now, we divide 84 by 12. 12 goes into 84 seven times (since 12 x 7 = 84). We write 7 above the division line:

```
0.0427
________
12 | 0.5124
-48
-----
32
-24
-----
84
-84
-----
0
```

### Conclusion
The final answer is 0.0427.

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