We look at the division of 417714 by 7 
The aim is to understand the frequency of 7 in 417714.

Advancing to step 1:
The number 7 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 7

On to step 2:
7 can be fit into 41 5 times, resulting in a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 35 from 41 leaves us with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 7

Let's proceed to step 3:
67 divided by 7 is 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
If we take 63 away from 67, we end up with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 7

On to step 4:
The number 7 fits into 47 6 times, leaving a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 596.0
Subtract 42 from 47 to get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 7

Going ahead to step 5:
7 goes into 51 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 5967.0
Subtract 49 from 51 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 7

Going ahead to step 6:
The number 7 fits into 24 3 times, leaving a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 59673.0
Subtracting 21 from 24 leaves us with 3.
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 7:
30 divided by 7 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 59673.4
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.

Step 8:
When dividing 20 by 7, we get 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 59673.42
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.

On to step 9:
If we divide 60 by 7, we get 8 and a remainder of 4.
The next digit of our result is 8. 
Result so far: 59673.428
Deduct 56 from 60 and we're left 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.

Let's proceed to step 10:
40 divided by 7 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 59673.4285
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.

Moving on to step 11:
If we divide 50 by 7, we get 7 and a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 59673.42857
Deduct 49 from 50 and we're left 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.

Moving on to step 12:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 59673.428571
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 13:
When dividing 30 by 7, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 59673.4285714
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.

On to step 14:
20 divided by 7 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 59673.42857142
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.

In conclusion, the division gives 59673.42857142 with a balance of 6e-09.