We look at the division of 556636 by 58 
Let's see how many times 58 fits into 556636.

Advancing to step 1:
The number 58 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 / 58

Step 2:
55 divided by 58 is 0 with a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Include the next digit (6) from the dividend after 55, then repeat: 556 / 58

Step 3:
If we divide 556 by 58, we get 9 and a remainder of 34.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 522 from 556 leaves us with 34.
Fetch the next digit (6) from the dividend, attach it to 34 and continue: 346 / 58

Going ahead to step 4:
When dividing 346 by 58, we get 5 with a remainder of 56.
Write down 5 as next digit of the result. 
Result so far: 95.0
Subtracting 290 from 346 leaves us with 56.
Append the next digit (3) from the dividend to 56 and continue with: 563 / 58

Let's proceed to step 5:
The number 58 fits into 563 9 times, leaving a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 959.0
If we take 522 away from 563, we end up with 41.
Take the next digit (6) from the dividend and append it to 41, then repeat: 416 / 58

Step 6:
The number 58 fits into 416 7 times, leaving a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 9597.0
Subtract 406 from 416 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.

On to step 7:
If we divide 100 by 58, we get 1 and a remainder of 42.
The next digit of our result is 1. 
Result so far: 9597.1
The remainder is 42 after subtracting 58 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 8:
If we divide 420 by 58, we get 7 and a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 9597.17
If we take 406 away from 420, we end up with 14.
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:
When dividing 140 by 58, we get 2 with a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 9597.172
Subtracting 116 from 140 leaves us 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 10:
When dividing 240 by 58, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 9597.1724
Deduct 232 from 240 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
If we divide 80 by 58, we get 1 and a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 9597.17241
The remainder is 22 after subtracting 58 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 12:
58 can be fit into 220 3 times, resulting in a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 9597.172413
The remainder is 46 after subtracting 174 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 13:
When dividing 460 by 58, we get 7 with a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 9597.1724137
Subtracting 406 from 460 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 14:
The number 58 fits into 540 9 times, leaving a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 9597.17241379
If we take 522 away from 540, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 9597.17241379 with a remainder of 1.8e-08.