558662 divided by 13 
Let's see how many times 13 fits into 558662.

Going ahead to step 1:
When dividing 5 by 13, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 13

Let's proceed to step 2:
When dividing 55 by 13, we get 4 with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 3 after subtracting 52 from 55.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 13

Step 3:
13 can be fit into 38 2 times, resulting in a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 42.0
Deduct 26 from 38 and we're left with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 13

On to step 4:
The number 13 fits into 126 9 times, leaving a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 429.0
If we take 117 away from 126, we end up with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 13

Step 5:
When dividing 96 by 13, we get 7 with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 4297.0
Deduct 91 from 96 and we're left with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 13

On to step 6:
When dividing 52 by 13, we get 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 42974.0
Subtract 52 from 52 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
13 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 42974.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
0 divided by 13 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 42974.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 42974.0 with a remainder of 0.0.