We look at the division of 558351 by 53 
Let's see how many times 53 fits into 558351.

Going ahead to step 1:
The number 53 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 53

Moving on to step 2:
53 can be fit into 55 1 times, resulting in a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 53 from 55 leaves us with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 53

Advancing to step 3:
28 divided by 53 is 0 with a remainder of 28.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 28 and we're left with 28.
Bring next digit (3) of the dividend behind the 28 and repeat the process: 283 / 53

Advancing to step 4:
When dividing 283 by 53, we get 5 with a remainder of 18.
Write down 5 as next digit of the result. 
Result so far: 105.0
If we subtract 265 from 283, we get 18.
Append the next digit (5) from the dividend to 18 and continue with: 185 / 53

Advancing to step 5:
When dividing 185 by 53, we get 3 with a remainder of 26.
The number 3 becomes the next digit in our result. 
Result so far: 1053.0
If we take 159 away from 185, we end up with 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 53

Step 6:
The number 53 fits into 261 4 times, leaving a remainder of 49.
Put 4 as the next digit of the answer. 
Result so far: 10534.0
Subtracting 212 from 261 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 7:
53 goes into 490 9 times with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 10534.9
If we subtract 477 from 490, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 8:
53 goes into 130 2 times with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 10534.92
Deduct 106 from 130 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
The number 53 fits into 240 4 times, leaving a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 10534.924
Deduct 212 from 240 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 10:
The number 53 fits into 280 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 10534.9245
Deduct 265 from 280 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 11:
53 can be fit into 150 2 times, resulting in a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 10534.92452
If we take 106 away from 150, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 12:
If we divide 440 by 53, we get 8 and a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 10534.924528
Subtract 424 from 440 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 13:
The number 53 fits into 160 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 10534.9245283
If we subtract 159 from 160, 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.

Let's proceed to step 14:
53 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 10534.9245283
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 10534.9245283 and a remainder of 1e-08.