563858 ÷ 13 
Our goal is to divide 563858 by 13.

Moving on to step 1:
5 divided by 13 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 13

Going ahead to step 2:
If we divide 56 by 13, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 52 from 56 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 13

On to step 3:
43 divided by 13 is 3 with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 43.0
The remainder is 4 after subtracting 39 from 43.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 13

Going ahead to step 4:
If we divide 48 by 13, we get 3 and a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 433.0
The remainder is 9 after subtracting 39 from 48.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 13

Going ahead to step 5:
The number 13 fits into 95 7 times, leaving a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 4337.0
Subtract 91 from 95 to get 4.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 13

Let's proceed to step 6:
48 divided by 13 is 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 43373.0
Subtract 39 from 48 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 43373.6
If we take 78 away from 90, we end up 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.

Moving on to step 8:
13 goes into 120 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 43373.69
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
If we divide 30 by 13, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 43373.692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 43373.6923
Subtract 39 from 40 to 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.

Step 11:
10 divided by 13 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 43373.6923
Subtracting 0 from 10 leaves us 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.

Step 12:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 43373.692307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 13:
90 divided by 13 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 43373.6923076
Subtracting 78 from 90 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.

On to step 14:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 43373.69230769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 43373.69230769 with a balance of 3e-09.