We're dividing 409168 by 13 
The aim is to understand the frequency of 13 in 409168.

Step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 13

Let's proceed to step 2:
When dividing 40 by 13, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 39 from 40 to get 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 13

Advancing to step 3:
The number 13 fits into 19 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 31.0
Subtract 13 from 19 to get 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 13

Going ahead to step 4:
The number 13 fits into 61 4 times, leaving a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 314.0
Subtracting 52 from 61 leaves us with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 13

Let's proceed to step 5:
When dividing 96 by 13, we get 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 3147.0
Subtracting 91 from 96 leaves us with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 13

On to step 6:
13 can be fit into 58 4 times, resulting in a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 31474.0
Deduct 52 from 58 and we're left 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.

Advancing to step 7:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 31474.4
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 8:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 31474.46
Deduct 78 from 80 and we're left 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.

Let's proceed to step 9:
13 goes into 20 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 31474.461
If we subtract 13 from 20, we get 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:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 31474.4615
If we subtract 65 from 70, we 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.

Going ahead to step 11:
13 goes into 50 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 31474.46153
Subtracting 39 from 50 leaves us 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.

Let's proceed to step 12:
When dividing 110 by 13, we get 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 31474.461538
The remainder is 6 after subtracting 104 from 110.
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 13:
If we divide 60 by 13, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 31474.4615384
Deduct 52 from 60 and we're left 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.

Moving on to step 14:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 31474.46153846
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.

After the division, we end up with 31474.46153846 and a remainder of 2e-09.