We're dividing 581235 by 54 
Our goal is to divide 581235 by 54.

Advancing to step 1:
When dividing 5 by 54, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 54

Advancing to step 2:
The number 54 fits into 58 1 times, leaving a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 54 from 58, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 54

On to step 3:
When dividing 41 by 54, we get 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 41, we end up with 41.
Include the next digit (2) from the dividend after 41, then repeat: 412 / 54

Let's proceed to step 4:
The number 54 fits into 412 7 times, leaving a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 107.0
If we subtract 378 from 412, we get 34.
Take the next digit (3) from the dividend and append it to 34, then repeat: 343 / 54

Step 5:
54 goes into 343 6 times with a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 1076.0
The remainder is 19 after subtracting 324 from 343.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 54

On to step 6:
When dividing 195 by 54, we get 3 with a remainder of 33.
Put 3 as the next digit of the answer. 
Result so far: 10763.0
Deduct 162 from 195 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
The number 54 fits into 330 6 times, leaving a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 10763.6
If we subtract 324 from 330, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
If we divide 60 by 54, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 10763.61
If we subtract 54 from 60, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
The number 54 fits into 60 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 10763.611
Subtracting 54 from 60 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 10763.611 with a remainder of 0.0006.