We look at the division of 558653 by 53 
Our goal is to divide 558653 by 53.

Going ahead to step 1:
5 divided by 53 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 53

Moving on to step 2:
If we divide 55 by 53, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 53 away from 55, we end up with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 53

Moving on to step 3:
28 divided by 53 is 0 with a remainder of 28.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 28, we get 28.
Fetch the next digit (6) from the dividend, attach it to 28 and continue: 286 / 53

Advancing to step 4:
53 can be fit into 286 5 times, resulting in a remainder of 21.
The next digit of our result is 5. 
Result so far: 105.0
The remainder is 21 after subtracting 265 from 286.
Append the next digit (5) from the dividend to 21 and continue with: 215 / 53

Moving on to step 5:
215 divided by 53 is 4 with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 1054.0
If we take 212 away from 215, we end up with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 53

Let's proceed to step 6:
If we divide 33 by 53, we get 0 and a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 10540.0
If we subtract 0 from 33, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
53 goes into 330 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 10540.6
Subtracting 318 from 330 leaves us 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.

Going ahead to step 8:
120 divided by 53 is 2 with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 10540.62
The remainder is 14 after subtracting 106 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 9:
53 can be fit into 140 2 times, resulting in a remainder of 34.
Use 2 as the next digit of our solution. 
Result so far: 10540.622
Subtract 106 from 140 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 10540.622 and a remainder of 0.0034.