We look at the division of 581108 by 75 
Our goal is to divide 581108 by 75.

Advancing to step 1:
When dividing 5 by 75, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 75

Step 2:
75 goes into 58 0 times with a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Fetch the next digit (1) from the dividend, attach it to 58 and continue: 581 / 75

Advancing to step 3:
581 divided by 75 is 7 with a remainder of 56.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 56 after subtracting 525 from 581.
Include the next digit (1) from the dividend after 56, then repeat: 561 / 75

Moving on to step 4:
75 goes into 561 7 times with a remainder of 36.
Use 7 as the next digit of our solution. 
Result so far: 77.0
The remainder is 36 after subtracting 525 from 561.
Take the next digit (0) from the dividend and append it to 36, then repeat: 360 / 75

Advancing to step 5:
75 can be fit into 360 4 times, resulting in a remainder of 60.
The next digit of our result is 4. 
Result so far: 774.0
Subtract 300 from 360 to get 60.
Grab the next digit (8) from the dividend, add it to 60, then carry on: 608 / 75

Step 6:
If we divide 608 by 75, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 7748.0
Deduct 600 from 608 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
The number 75 fits into 80 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 7748.1
Subtracting 75 from 80 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
When dividing 50 by 75, we get 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 7748.1
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
When dividing 500 by 75, we get 6 with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 7748.106
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 10:
75 goes into 500 6 times with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 7748.1066
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 7748.1066 with a balance of 0.0005.