257930 ÷ 6 
The aim is to understand the frequency of 6 in 257930.

On to step 1:
2 divided by 6 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 6

On to step 2:
When dividing 25 by 6, we get 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 24 away from 25, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 6

Let's proceed to step 3:
6 can be fit into 17 2 times, resulting in a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 42.0
Deduct 12 from 17 and we're left with 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 6

Let's proceed to step 4:
6 can be fit into 59 9 times, resulting in a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 429.0
Deduct 54 from 59 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 6

Advancing to step 5:
If we divide 53 by 6, we get 8 and a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 4298.0
Deduct 48 from 53 and we're left with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 6

Advancing to step 6:
6 can be fit into 50 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 42988.0
If we subtract 48 from 50, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
6 goes into 20 3 times with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 42988.3
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
If we divide 20 by 6, we get 3 and a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 42988.33
Subtracting 18 from 20 leaves us 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.

After the division, we end up with 42988.33 and a remainder of 0.002.