We're dividing 491905 by 13 
The aim is to understand the frequency of 13 in 491905.

Advancing to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 13

Moving on to step 2:
13 goes into 49 3 times with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 39 from 49 and we're left with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 13

Moving on to step 3:
The number 13 fits into 101 7 times, leaving a remainder of 10.
The next digit of our result is 7. 
Result so far: 37.0
Subtracting 91 from 101 leaves us with 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 13

Let's proceed to step 4:
13 can be fit into 109 8 times, resulting in a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 378.0
Subtracting 104 from 109 leaves us with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 13

Let's proceed to step 5:
If we divide 50 by 13, we get 3 and a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 3783.0
The remainder is 11 after subtracting 39 from 50.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 13

On to step 6:
13 goes into 115 8 times with a remainder of 11.
The next digit of our result is 8. 
Result so far: 37838.0
The remainder is 11 after subtracting 104 from 115.
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 7:
When dividing 110 by 13, we get 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 37838.8
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.

On to step 8:
If we divide 60 by 13, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 37838.84
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.

Advancing to step 9:
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: 37838.846
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.

Advancing to step 10:
When dividing 20 by 13, we get 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 37838.8461
Subtracting 13 from 20 leaves us 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.

Step 11:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 37838.84615
Deduct 65 from 70 and we're left 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.

Moving on to step 12:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 37838.846153
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.

Advancing to step 13:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 37838.8461538
Deduct 104 from 110 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 14:
13 goes into 60 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 37838.84615384
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.

In conclusion, the division gives 37838.84615384 with a balance of 8e-09.