We divide 461584 by 12
We want to divide 461584 by 12.

Step 1:
4 divided by 12 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 12

Step 2:
12 can be fit into 46 3 times, resulting in a remainder of 10.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 36 from 46 and we're left with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 12

On to step 3:
If we divide 101 by 12, we get 8 and a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 38.0
Deduct 96 from 101 and we're left with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 12

Moving on to step 4:
When dividing 55 by 12, we get 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 384.0
Deduct 48 from 55 and we're left with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 12

On to step 5:
When dividing 78 by 12, we get 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 3846.0
If we take 72 away from 78, we end up with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 12

Let's proceed to step 6:
The number 12 fits into 64 5 times, leaving a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 38465.0
If we take 60 away from 64, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
The number 12 fits into 40 3 times, leaving a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 38465.3
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
The number 12 fits into 40 3 times, leaving a remainder of 4.
The next digit of our result is 3. 
Result so far: 38465.33
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 38465.33 with a balance of 0.004.