We're dividing 419255 by 7 
The aim is to understand the frequency of 7 in 419255.

Let's proceed to step 1:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 7

Moving on to step 2:
The number 7 fits into 41 5 times, leaving a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 35 from 41 and we're left with 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 7

Advancing to step 3:
The number 7 fits into 69 9 times, leaving a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
If we subtract 63 from 69, we get 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 7

Going ahead to step 4:
7 goes into 62 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 598.0
Subtracting 56 from 62 leaves us with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 7

Advancing to step 5:
The number 7 fits into 65 9 times, leaving a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 5989.0
If we subtract 63 from 65, we get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 7

Step 6:
The number 7 fits into 25 3 times, leaving a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 59893.0
Subtract 21 from 25 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
7 goes into 40 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 59893.5
The remainder is 5 after subtracting 35 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
When dividing 50 by 7, we get 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 59893.57
Subtract 49 from 50 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
10 divided by 7 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 59893.571
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
When dividing 30 by 7, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 59893.5714
If we take 28 away from 30, we end up 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.

On to step 11:
When dividing 20 by 7, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 59893.57142
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 59893.571428
If we take 56 away from 60, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
When dividing 40 by 7, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 59893.5714285
Deduct 35 from 40 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 14:
50 divided by 7 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 59893.57142857
If we subtract 49 from 50, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 59893.57142857 and a remainder of 1e-09.