We look at the division of 556355 by 75 
Our goal is to divide 556355 by 75.

Let's proceed to step 1:
When dividing 5 by 75, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 75

Moving on to step 2:
75 goes into 55 0 times with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Fetch the next digit (6) from the dividend, attach it to 55 and continue: 556 / 75

Going ahead to step 3:
When dividing 556 by 75, we get 7 with a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 525 from 556 and we're left with 31.
Grab the next digit (3) from the dividend, add it to 31, then carry on: 313 / 75

On to step 4:
75 goes into 313 4 times with a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 74.0
Subtracting 300 from 313 leaves us with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 75

Step 5:
If we divide 135 by 75, we get 1 and a remainder of 60.
Use 1 as the next digit of our solution. 
Result so far: 741.0
Deduct 75 from 135 and we're left with 60.
Fetch the next digit (5) from the dividend, attach it to 60 and continue: 605 / 75

Step 6:
If we divide 605 by 75, we get 8 and a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 7418.0
The remainder is 5 after subtracting 600 from 605.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
75 goes into 50 0 times with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 7418.0
Subtract 0 from 50 to 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.

Let's proceed to step 8:
500 divided by 75 is 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 7418.06
Deduct 450 from 500 and we're left 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.

Moving on to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The next digit of our result is 6. 
Result so far: 7418.066
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.

The final result is 7418.066 with a remainder of 0.005.