We divide 564223 by 13
We want to figure out the number of times 564223 can be divided by 13.

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
If we take 0 away from 5, we end up with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 13

Step 2:
13 goes into 56 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 52 from 56 to get 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 13

On to step 3:
If we divide 44 by 13, we get 3 and a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
If we subtract 39 from 44, we get 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 13

Advancing to step 4:
13 can be fit into 52 4 times, resulting in a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 434.0
Subtract 52 from 52 to get 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 13

Moving on to step 5:
If we divide 2 by 13, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 4340.0
If we take 0 away from 2, we end up with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 13

Going ahead to step 6:
If we divide 23 by 13, we get 1 and a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 43401.0
The remainder is 10 after subtracting 13 from 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
If we divide 100 by 13, we get 7 and a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 43401.7
If we subtract 91 from 100, we 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 8:
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: 43401.76
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.

Step 9:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 43401.769
Deduct 117 from 120 and we're left with 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 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 43401.7692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
40 divided by 13 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 43401.76923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
When dividing 10 by 13, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 43401.76923
Subtract 0 from 10 to get 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 13:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 43401.7692307
Deduct 91 from 100 and we're left 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.

Let's proceed to step 14:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 43401.76923076
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.

The final result is 43401.76923076 with a remainder of 1.2e-08.