We're dividing 257441 by 1 
The aim is to understand the frequency of 1 in 257441.

On to step 1:
When dividing 2 by 1, we get 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 0 after subtracting 2 from 2.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 1

Advancing to step 2:
1 goes into 5 5 times with 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 5 from 5.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 1

Moving on to step 3:
1 goes into 7 7 times with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 257.0
Deduct 7 from 7 and we're left with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 1

Moving on to step 4:
1 goes into 4 4 times with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 2574.0
Subtracting 4 from 4 leaves us with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 1

Step 5:
1 can be fit into 4 4 times, resulting in a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 25744.0
Subtract 4 from 4 to get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 1

On to step 6:
1 can be fit into 1 1 times, resulting in a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 257441.0
Subtracting 1 from 1 leaves us 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.

Let's proceed to step 7:
When dividing 0 by 1, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 257441.0
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.

On to step 8:
If we divide 0 by 1, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 257441.0
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.

The final result is 257441.0 with a remainder of 0.0.