We look at the division of 575442 by 88 
We're looking to find how many times 88 goes into 575442.

Going ahead to step 1:
88 can be fit into 5 0 times, resulting in 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 (7) from the dividend after 5, then repeat: 57 / 88

On to step 2:
If we divide 57 by 88, we get 0 and a remainder of 57.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 57 and we're left with 57.
Bring next digit (5) of the dividend behind the 57 and repeat the process: 575 / 88

On to step 3:
When dividing 575 by 88, we get 6 with a remainder of 47.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 528 from 575, we get 47.
Append the next digit (4) from the dividend to 47 and continue with: 474 / 88

Going ahead to step 4:
If we divide 474 by 88, we get 5 and a remainder of 34.
The next digit of our result is 5. 
Result so far: 65.0
Subtracting 440 from 474 leaves us with 34.
Include the next digit (4) from the dividend after 34, then repeat: 344 / 88

Going ahead to step 5:
When dividing 344 by 88, we get 3 with a remainder of 80.
Use 3 as the next digit of our solution. 
Result so far: 653.0
If we subtract 264 from 344, we get 80.
Include the next digit (2) from the dividend after 80, then repeat: 802 / 88

On to step 6:
When dividing 802 by 88, we get 9 with a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 6539.0
The remainder is 10 after subtracting 792 from 802.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
88 goes into 100 1 times with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 6539.1
Deduct 88 from 100 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
When dividing 120 by 88, we get 1 with a remainder of 32.
The next digit of our result is 1. 
Result so far: 6539.11
If we subtract 88 from 120, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 6539.11 with a remainder of 0.032.