We look at the division of 580691 by 13 
Let's see how many times 13 fits into 580691.

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
If we take 0 away from 5, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 13

On to step 2:
13 goes into 58 4 times with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 52 from 58 leaves us with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 13

Let's proceed to step 3:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 44.0
Subtract 52 from 60 to get 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 13

Let's proceed to step 4:
13 goes into 86 6 times with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 446.0
If we subtract 78 from 86, we get 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 13

Step 5:
When dividing 89 by 13, we get 6 with a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 4466.0
Subtracting 78 from 89 leaves us with 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 13

Let's proceed to step 6:
When dividing 111 by 13, we get 8 with a remainder of 7.
The next digit of our result is 8. 
Result so far: 44668.0
If we take 104 away from 111, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
13 goes into 70 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 44668.5
Deduct 65 from 70 and we're left 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 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 44668.53
The remainder is 11 after subtracting 39 from 50.
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 9:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 44668.538
If we take 104 away from 110, we end up 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.

On to step 10:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 44668.5384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
13 goes into 80 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 44668.53846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 44668.538461
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
70 divided by 13 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 44668.5384615
If we take 65 away from 70, we end up 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.

Let's proceed to step 14:
If we divide 50 by 13, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 44668.53846153
If we subtract 39 from 50, we 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.

The final outcome is 44668.53846153, with a leftover of 1.1e-08.