553075 divided by 75 
We want to figure out the number of times 553075 can be divided by 75.

Advancing to step 1:
If we divide 5 by 75, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 75

Moving on to step 2:
If we divide 55 by 75, we get 0 and a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Take the next digit (3) from the dividend and append it to 55, then repeat: 553 / 75

On to step 3:
When dividing 553 by 75, we get 7 with a remainder of 28.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 525 from 553 to get 28.
Fetch the next digit (0) from the dividend, attach it to 28 and continue: 280 / 75

Let's proceed to step 4:
75 goes into 280 3 times with a remainder of 55.
The next digit of our result is 3. 
Result so far: 73.0
If we take 225 away from 280, we end up with 55.
Append the next digit (7) from the dividend to 55 and continue with: 557 / 75

Advancing to step 5:
557 divided by 75 is 7 with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 737.0
If we subtract 525 from 557, we get 32.
Bring next digit (5) of the dividend behind the 32 and repeat the process: 325 / 75

Step 6:
325 divided by 75 is 4 with a remainder of 25.
The number 4 becomes the next digit in our result. 
Result so far: 7374.0
The remainder is 25 after subtracting 300 from 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 7:
If we divide 250 by 75, we get 3 and a remainder of 25.
The next digit of our result is 3. 
Result so far: 7374.3
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 7374.33
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 7374.33 with a remainder of 0.025.