509698 ÷ 2 
The aim is to understand the frequency of 2 in 509698.

Step 1:
5 divided by 2 is 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 4 from 5 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 2

On to step 2:
If we divide 10 by 2, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
The remainder is 0 after subtracting 10 from 10.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 2

Moving on to step 3:
2 goes into 9 4 times with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 254.0
If we subtract 8 from 9, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 2

Step 4:
The number 2 fits into 16 8 times, leaving a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 2548.0
Subtracting 16 from 16 leaves us with 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 2

Let's proceed to step 5:
The number 2 fits into 9 4 times, leaving a remainder of 1.
The next digit of our result is 4. 
Result so far: 25484.0
Subtracting 8 from 9 leaves us with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 2

Let's proceed to step 6:
2 can be fit into 18 9 times, resulting in a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 254849.0
Subtract 18 from 18 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 254849.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
2 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 254849.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 254849.0 and a remainder of 0.0.