We're dividing 257517 by 6 
The aim is to understand the frequency of 6 in 257517.

Going ahead to step 1:
2 divided by 6 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 6

Let's proceed to step 2:
6 can be fit into 25 4 times, resulting in a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 24 away from 25, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 6

Moving on to step 3:
6 can be fit into 17 2 times, resulting in a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
If we take 12 away from 17, we end up with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 6

Let's proceed to step 4:
6 can be fit into 55 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 429.0
The remainder is 1 after subtracting 54 from 55.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 6

Step 5:
6 goes into 11 1 times with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 4291.0
Subtracting 6 from 11 leaves us with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 6

Moving on to step 6:
If we divide 57 by 6, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 42919.0
The remainder is 3 after subtracting 54 from 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
6 goes into 30 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 42919.5
Deduct 30 from 30 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:
The number 6 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 42919.5
If we subtract 0 from 0, we 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.

Step 9:
6 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 42919.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 42919.5, and the remainder is 0.0.