We're dividing 558028 by 125 
We're looking to find how many times 125 goes into 558028.

Step 1:
If we divide 5 by 125, we get 0 and 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.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 125

Going ahead to step 2:
125 can be fit into 55 0 times, resulting in a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Append the next digit (8) from the dividend to 55 and continue with: 558 / 125

Step 3:
The number 125 fits into 558 4 times, leaving a remainder of 58.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 500 from 558 to get 58.
Take the next digit (0) from the dividend and append it to 58, then repeat: 580 / 125

Moving on to step 4:
580 divided by 125 is 4 with a remainder of 80.
Write down 4 as next digit of the result. 
Result so far: 44.0
If we subtract 500 from 580, we get 80.
Take the next digit (2) from the dividend and append it to 80, then repeat: 802 / 125

On to step 5:
802 divided by 125 is 6 with a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 446.0
If we take 750 away from 802, we end up with 52.
Fetch the next digit (8) from the dividend, attach it to 52 and continue: 528 / 125

Step 6:
The number 125 fits into 528 4 times, leaving a remainder of 28.
The next digit of our result is 4. 
Result so far: 4464.0
Subtract 500 from 528 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 7:
125 can be fit into 280 2 times, resulting in a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 4464.2
The remainder is 30 after subtracting 250 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
When dividing 300 by 125, we get 2 with a remainder of 50.
Write down 2 as next digit of the result. 
Result so far: 4464.22
If we subtract 250 from 300, 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.

Our division results in 4464.22 with a remaining 0.05.