We look at the division of 581142 by 51 
We want to figure out the number of times 581142 can be divided by 51.

Let's proceed to step 1:
The number 51 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 51

Advancing to step 2:
51 goes into 58 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 51 away from 58, we end up with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 51

Moving on to step 3:
51 goes into 71 1 times with a remainder of 20.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 51 from 71, we get 20.
Fetch the next digit (1) from the dividend, attach it to 20 and continue: 201 / 51

On to step 4:
The number 51 fits into 201 3 times, leaving a remainder of 48.
Record the quotient 3 as the next digit in the result. 
Result so far: 113.0
Deduct 153 from 201 and we're left with 48.
Grab the next digit (4) from the dividend, add it to 48, then carry on: 484 / 51

Moving on to step 5:
When dividing 484 by 51, we get 9 with a remainder of 25.
Write down 9 as next digit of the result. 
Result so far: 1139.0
If we subtract 459 from 484, we get 25.
Fetch the next digit (2) from the dividend, attach it to 25 and continue: 252 / 51

Let's proceed to step 6:
If we divide 252 by 51, we get 4 and a remainder of 48.
The next digit of our result is 4. 
Result so far: 11394.0
If we take 204 away from 252, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 7:
When dividing 480 by 51, we get 9 with a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 11394.9
If we subtract 459 from 480, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 8:
210 divided by 51 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 11394.94
Deduct 204 from 210 and we're left 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.

On to step 9:
51 goes into 60 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 11394.941
Deduct 51 from 60 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
51 can be fit into 90 1 times, resulting in a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 11394.9411
Subtracting 51 from 90 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

In conclusion, the division gives 11394.9411 with a balance of 0.00039.