We look at the division of 419735 by 13 
The aim is to understand the frequency of 13 in 419735.

Moving on to 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.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 13

Step 2:
13 goes into 41 3 times with a remainder of 2.
The next digit of our result is 3. 
Result so far: 3.0
If we take 39 away from 41, we end up with 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 13

Step 3:
The number 13 fits into 29 2 times, leaving a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
If we subtract 26 from 29, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 13

Going ahead to step 4:
37 divided by 13 is 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 322.0
If we take 26 away from 37, we end up with 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 13

Moving on to step 5:
13 can be fit into 113 8 times, resulting in a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 3228.0
The remainder is 9 after subtracting 104 from 113.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 13

On to step 6:
If we divide 95 by 13, we get 7 and a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 32287.0
Deduct 91 from 95 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
If we divide 40 by 13, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 32287.3
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 32287.3
If we subtract 0 from 10, we 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.

Moving on to step 9:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 32287.307
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.

Going ahead to step 10:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 32287.3076
Deduct 78 from 90 and we're left 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 11:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 32287.30769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 12:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 32287.307692
If we subtract 26 from 30, we 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.

On to step 13:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 32287.3076923
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.

Moving on to step 14:
10 divided by 13 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 32287.3076923
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 32287.3076923, with a leftover of 1e-08.