419829 ÷ 26 
The aim is to understand the frequency of 26 in 419829.

Step 1:
The number 26 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 26

Step 2:
When dividing 41 by 26, we get 1 with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 26 from 41 to get 15.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 26

Advancing to step 3:
When dividing 159 by 26, we get 6 with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
The remainder is 3 after subtracting 156 from 159.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 26

Step 4:
26 can be fit into 38 1 times, resulting in a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 161.0
The remainder is 12 after subtracting 26 from 38.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 26

Let's proceed to step 5:
26 can be fit into 122 4 times, resulting in a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 1614.0
If we subtract 104 from 122, we get 18.
Grab the next digit (9) from the dividend, add it to 18, then carry on: 189 / 26

Advancing to step 6:
The number 26 fits into 189 7 times, leaving a remainder of 7.
The next digit of our result is 7. 
Result so far: 16147.0
Subtract 182 from 189 to 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.

Going ahead to step 7:
70 divided by 26 is 2 with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 16147.2
Subtract 52 from 70 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
If we divide 180 by 26, we get 6 and a remainder of 24.
The next digit of our result is 6. 
Result so far: 16147.26
Deduct 156 from 180 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 9:
26 goes into 240 9 times with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 16147.269
If we subtract 234 from 240, we 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.

Let's proceed to step 10:
If we divide 60 by 26, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 16147.2692
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 11:
When dividing 80 by 26, we get 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 16147.26923
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.

Moving on to step 12:
The number 26 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 16147.26923
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 13:
If we divide 200 by 26, we get 7 and a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 16147.2692307
Subtracting 182 from 200 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 14:
When dividing 180 by 26, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 16147.26923076
Deduct 156 from 180 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 16147.26923076 with a remainder of 2.4e-08.