Let's divide 581884 by 12
Our goal is to divide 581884 by 12.

Advancing to step 1:
12 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 12

Moving on to step 2:
12 goes into 58 4 times with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 48 from 58 and we're left with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 12

Step 3:
The number 12 fits into 101 8 times, leaving a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 48.0
If we subtract 96 from 101, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 12

Going ahead to step 4:
12 goes into 58 4 times with a remainder of 10.
The next digit of our result is 4. 
Result so far: 484.0
If we take 48 away from 58, we end up with 10.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 12

On to step 5:
12 goes into 108 9 times with a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 4849.0
If we take 108 away from 108, we end up with 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 12

Step 6:
If we divide 4 by 12, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 48490.0
If we take 0 away from 4, 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.

Let's proceed to 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: 48490.3
If we take 36 away from 40, 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.

Moving on to step 8:
12 can be fit into 40 3 times, resulting in a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 48490.33
Subtract 36 from 40 to 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.

The quotient of the division is 48490.33, and the remainder is 0.004.