We divide 565534 by 13
The aim is to understand the frequency of 13 in 565534.

Going ahead to step 1:
When dividing 5 by 13, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 13

Moving on to step 2:
56 divided by 13 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 52 away from 56, we end up with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 13

Going ahead to step 3:
When dividing 45 by 13, we get 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 43.0
Deduct 39 from 45 and we're left with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 13

Step 4:
13 can be fit into 65 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 435.0
If we take 65 away from 65, we end up with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 13

Advancing to step 5:
If we divide 3 by 13, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 4350.0
Subtract 0 from 3 to get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 13

On to step 6:
When dividing 34 by 13, we get 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 43502.0
Subtract 26 from 34 to 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 7:
13 goes into 80 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 43502.6
Subtracting 78 from 80 leaves us 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 8:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 43502.61
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.

Going ahead to step 9:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 43502.615
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.

Going ahead to step 10:
13 goes into 50 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 43502.6153
If we take 39 away from 50, we end up 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.

On to step 11:
If we divide 110 by 13, we get 8 and a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 43502.61538
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.

Let's proceed to step 12:
When dividing 60 by 13, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 43502.615384
Subtract 52 from 60 to 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.

Step 13:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 43502.6153846
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.

Moving on to step 14:
20 divided by 13 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 43502.61538461
Deduct 13 from 20 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.

The quotient of the division is 43502.61538461, and the remainder is 7e-09.