We're dividing 558628 by 87 
Our goal is to divide 558628 by 87.

Let's proceed to step 1:
The number 87 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 87

Step 2:
87 goes into 55 0 times with a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Grab the next digit (8) from the dividend, add it to 55, then carry on: 558 / 87

Moving on to step 3:
When dividing 558 by 87, we get 6 with a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 522 from 558, we get 36.
Grab the next digit (6) from the dividend, add it to 36, then carry on: 366 / 87

Advancing to step 4:
The number 87 fits into 366 4 times, leaving a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 64.0
If we subtract 348 from 366, we get 18.
Append the next digit (2) from the dividend to 18 and continue with: 182 / 87

Step 5:
87 can be fit into 182 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 642.0
If we subtract 174 from 182, we get 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 87

Advancing to step 6:
87 can be fit into 88 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 6421.0
If we subtract 87 from 88, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
If we divide 10 by 87, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 6421.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
100 divided by 87 is 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 6421.01
The remainder is 13 after subtracting 87 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 9:
130 divided by 87 is 1 with a remainder of 43.
Put 1 as the next digit of the answer. 
Result so far: 6421.011
Subtract 87 from 130 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Our division results in 6421.011 with a remaining 0.0043.