We're dividing 557796 by 13 
Our goal is to divide 557796 by 13.

Advancing to step 1:
When dividing 5 by 13, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 13

On to step 2:
The number 13 fits into 55 4 times, leaving a remainder of 3.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 3 after subtracting 52 from 55.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 13

Let's proceed to step 3:
37 divided by 13 is 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 42.0
Deduct 26 from 37 and we're left with 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 13

Moving on to step 4:
117 divided by 13 is 9 with a remainder of 0.
The next digit of our result is 9. 
Result so far: 429.0
Subtracting 117 from 117 leaves us with 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 13

Let's proceed to step 5:
13 can be fit into 9 0 times, resulting in a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 4290.0
If we take 0 away from 9, we end up with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 13

Moving on to step 6:
13 can be fit into 96 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 42907.0
The remainder is 5 after subtracting 91 from 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
13 goes into 50 3 times with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 42907.3
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 8:
If we divide 110 by 13, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 42907.38
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 42907.384
If we take 52 away from 60, we end up 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.

Advancing to step 10:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 42907.3846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 42907.38461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 12:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 42907.384615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 42907.3846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 14:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 42907.38461538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 42907.38461538 with a balance of 6e-09.