We're dividing 257841 by 3 
The aim is to understand the frequency of 3 in 257841.

On to step 1:
When dividing 2 by 3, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 3

On to step 2:
25 divided by 3 is 8 with a remainder of 1.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 24 from 25 and we're left with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Step 3:
If we divide 17 by 3, we get 5 and a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 85.0
If we subtract 15 from 17, we get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 3

Moving on to step 4:
The number 3 fits into 28 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 859.0
Subtract 27 from 28 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 3

Step 5:
3 can be fit into 14 4 times, resulting in a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 8594.0
Subtracting 12 from 14 leaves us with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 3

On to step 6:
3 can be fit into 21 7 times, resulting in a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 85947.0
The remainder is 0 after subtracting 21 from 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
3 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 85947.0
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 8:
If we divide 0 by 3, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 85947.0
Subtract 0 from 0 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.

After the division, we end up with 85947.0 and a remainder of 0.0.