501557 ÷ 26 
The aim is to understand the frequency of 26 in 501557.

Step 1:
When dividing 5 by 26, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 26

Moving on to step 2:
When dividing 50 by 26, we get 1 with a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 26 away from 50, we end up with 24.
Take the next digit (1) from the dividend and append it to 24, then repeat: 241 / 26

Moving on to step 3:
The number 26 fits into 241 9 times, leaving a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Deduct 234 from 241 and we're left with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 26

Moving on to step 4:
75 divided by 26 is 2 with a remainder of 23.
Put 2 as the next digit of the answer. 
Result so far: 192.0
The remainder is 23 after subtracting 52 from 75.
Grab the next digit (5) from the dividend, add it to 23, then carry on: 235 / 26

Moving on to step 5:
The number 26 fits into 235 9 times, leaving a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 1929.0
The remainder is 1 after subtracting 234 from 235.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 26

Going ahead to step 6:
26 can be fit into 17 0 times, resulting in a remainder of 17.
The next digit of our result is 0. 
Result so far: 19290.0
If we subtract 0 from 17, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
When dividing 170 by 26, we get 6 with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 19290.6
The remainder is 14 after subtracting 156 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
If we divide 140 by 26, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 19290.65
If we subtract 130 from 140, 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.

Let's proceed to step 9:
The number 26 fits into 100 3 times, leaving a remainder of 22.
The next digit of our result is 3. 
Result so far: 19290.653
The remainder is 22 after subtracting 78 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 10:
26 can be fit into 220 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 19290.6538
Deduct 208 from 220 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 26 fits into 120 4 times, leaving a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 19290.65384
Subtract 104 from 120 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 12:
160 divided by 26 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 19290.653846
The remainder is 4 after subtracting 156 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
40 divided by 26 is 1 with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 19290.6538461
The remainder is 14 after subtracting 26 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 14:
140 divided by 26 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 19290.65384615
Subtracting 130 from 140 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.

In conclusion, the division gives 19290.65384615 with a balance of 1e-08.