We're dividing 562906 by 13 
The aim is to understand the frequency of 13 in 562906.

Advancing to step 1:
13 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 13

Let's proceed to step 2:
13 goes into 56 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 52 from 56 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 13

Let's proceed to step 3:
13 can be fit into 42 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
If we subtract 39 from 42, we get 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 13

Step 4:
39 divided by 13 is 3 with a remainder of 0.
The next digit of our result is 3. 
Result so far: 433.0
Subtracting 39 from 39 leaves us with 0.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 13

On to step 5:
The number 13 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4330.0
If we take 0 away from 0, we end up with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 13

On to step 6:
When dividing 6 by 13, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 43300.0
If we take 0 away from 6, 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.

Let's proceed to step 7:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 43300.4
If we take 52 away from 60, we end up 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.

Let's proceed to step 8:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 43300.46
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 43300.461
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.

Moving on to step 10:
13 goes into 70 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 43300.4615
Subtracting 65 from 70 leaves us 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 11:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 43300.46153
Deduct 39 from 50 and we're left with 11.
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 12:
If we divide 110 by 13, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 43300.461538
Subtract 104 from 110 to 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.

Going ahead to step 13:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 43300.4615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
When dividing 80 by 13, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 43300.46153846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 43300.46153846, with a leftover of 2e-09.