417820 ÷ 7 
The aim is to understand the frequency of 7 in 417820.

Going ahead to step 1:
The number 7 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 7

Step 2:
If we divide 41 by 7, we get 5 and a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 35 from 41 leaves us with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 7

On to step 3:
7 goes into 67 9 times with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 59.0
If we subtract 63 from 67, we get 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 7

Moving on to step 4:
The number 7 fits into 48 6 times, leaving a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 596.0
If we subtract 42 from 48, we get 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 7

Going ahead to step 5:
When dividing 62 by 7, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 5968.0
Subtracting 56 from 62 leaves us with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 7

Advancing to step 6:
60 divided by 7 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 59688.0
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.

Moving on to step 7:
40 divided by 7 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 59688.5
If we subtract 35 from 40, we get 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 8:
If we divide 50 by 7, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 59688.57
If we take 49 away from 50, 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.

Advancing to step 9:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 59688.571
Subtracting 7 from 10 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.

Going ahead to step 10:
When dividing 30 by 7, we get 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 59688.5714
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead 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: 59688.57142
The remainder is 6 after subtracting 14 from 20.
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 12:
60 divided by 7 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 59688.571428
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.

Step 13:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 59688.5714285
Subtract 35 from 40 to get 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 14:
50 divided by 7 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 59688.57142857
If we take 49 away from 50, 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.

The final result is 59688.57142857 with a remainder of 1e-09.