26338598 ÷ 509 
The aim is to understand the frequency of 509 in 26338598.

Moving on to step 1:
The number 509 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 509

Going ahead to step 2:
509 can be fit into 26 0 times, resulting in a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 509

Moving on to step 3:
When dividing 263 by 509, we get 0 with a remainder of 263.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 263 and we're left with 263.
Append the next digit (3) from the dividend to 263 and continue with: 2633 / 509

Moving on to step 4:
When dividing 2633 by 509, we get 5 with a remainder of 88.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 2545 from 2633 to get 88.
Fetch the next digit (8) from the dividend, attach it to 88 and continue: 888 / 509

Step 5:
509 can be fit into 888 1 times, resulting in a remainder of 379.
Put 1 as the next digit of the answer. 
Result so far: 51.0
Subtract 509 from 888 to get 379.
Fetch the next digit (5) from the dividend, attach it to 379 and continue: 3795 / 509

On to step 6:
If we divide 3795 by 509, we get 7 and a remainder of 232.
The next digit of our result is 7. 
Result so far: 517.0
Subtract 3563 from 3795 to get 232.
Bring next digit (9) of the dividend behind the 232 and repeat the process: 2329 / 509

Step 7:
The number 509 fits into 2329 4 times, leaving a remainder of 293.
Use 4 as the next digit of our solution. 
Result so far: 5174.0
If we take 2036 away from 2329, we end up with 293.
Append the next digit (8) from the dividend to 293 and continue with: 2938 / 509

Let's proceed to step 8:
The number 509 fits into 2938 5 times, leaving a remainder of 393.
Put 5 as the next digit of the answer. 
Result so far: 51745.0
Subtracting 2545 from 2938 leaves us with 393.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3930, and continue the process.

Let's proceed to step 9:
When dividing 3930 by 509, we get 7 with a remainder of 367.
Put 7 as the next digit of the answer. 
Result so far: 51745.7
If we subtract 3563 from 3930, we get 367.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3670, and continue the process.

Advancing to step 10:
509 goes into 3670 7 times with a remainder of 107.
Put 7 as the next digit of the answer. 
Result so far: 51745.77
The remainder is 107 after subtracting 3563 from 3670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

After the division, we end up with 51745.77 and a remainder of 0.107.