We divide 564584 by 13
Let's see how many times 13 fits into 564584.

Let's proceed to step 1:
If we divide 5 by 13, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 13

Step 2:
The number 13 fits into 56 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 4 after subtracting 52 from 56.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 13

Moving on to step 3:
The number 13 fits into 44 3 times, leaving a remainder of 5.
The next digit of our result is 3. 
Result so far: 43.0
Subtract 39 from 44 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 13

Moving on to step 4:
If we divide 55 by 13, we get 4 and a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 434.0
If we subtract 52 from 55, we get 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 13

Advancing to step 5:
The number 13 fits into 38 2 times, leaving a remainder of 12.
The next digit of our result is 2. 
Result so far: 4342.0
If we subtract 26 from 38, we get 12.
Append the next digit (4) from the dividend to 12 and continue with: 124 / 13

Going ahead to step 6:
13 goes into 124 9 times with a remainder of 7.
The next digit of our result is 9. 
Result so far: 43429.0
Deduct 117 from 124 and we're left 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.

Moving on to step 7:
13 goes into 70 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 43429.5
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
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: 43429.53
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.

Going ahead to step 9:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 43429.538
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.

Moving on to step 10:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 43429.5384
Subtracting 52 from 60 leaves us 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.

Step 11:
If we divide 80 by 13, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 43429.53846
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.

Step 12:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 43429.538461
If we take 13 away from 20, 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 13:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 43429.5384615
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 14:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 43429.53846153
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.

In conclusion, the division gives 43429.53846153 with a balance of 1.1e-08.