We look at the division of 458417 by 7 
The aim is to understand the frequency of 7 in 458417.

Let's proceed to step 1:
When dividing 4 by 7, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 7

Advancing to step 2:
7 goes into 45 6 times with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 42 away from 45, we end up with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 7

Step 3:
If we divide 38 by 7, we get 5 and a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 65.0
If we subtract 35 from 38, we get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 7

Advancing to step 4:
If we divide 34 by 7, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 654.0
Subtracting 28 from 34 leaves us with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 7

Going ahead to step 5:
If we divide 61 by 7, we get 8 and a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 6548.0
Subtract 56 from 61 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 7

Going ahead to step 6:
When dividing 57 by 7, we get 8 with a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 65488.0
If we take 56 away from 57, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
If we divide 10 by 7, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 65488.1
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.

Moving on to step 8:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 65488.14
Deduct 28 from 30 and we're left 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.

Advancing to step 9:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 65488.142
If we take 14 away from 20, we end up 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.

Going ahead to step 10:
7 goes into 60 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 65488.1428
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.

Advancing to step 11:
7 goes into 40 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 65488.14285
If we take 35 away from 40, we end up 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.

Let's proceed to step 12:
When dividing 50 by 7, we get 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 65488.142857
Subtracting 49 from 50 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 13:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 65488.1428571
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.

Going ahead to step 14:
The number 7 fits into 30 4 times, leaving a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 65488.14285714
Deduct 28 from 30 and we're left 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.

In conclusion, the division gives 65488.14285714 with a balance of 2e-09.