We look at the division of 416435 by 7 
The aim is to understand the frequency of 7 in 416435.

Step 1:
4 divided by 7 is 0 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.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 7

Advancing to step 2:
41 divided by 7 is 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 6 after subtracting 35 from 41.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 7

Moving on to step 3:
66 divided by 7 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 59.0
Subtract 63 from 66 to get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 7

Let's proceed to step 4:
34 divided by 7 is 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 594.0
Subtract 28 from 34 to get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 7

Step 5:
7 goes into 63 9 times with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 5949.0
The remainder is 0 after subtracting 63 from 63.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 7

Advancing to step 6:
The number 7 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 59490.0
The remainder is 5 after subtracting 0 from 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
7 goes into 50 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 59490.7
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.

On to step 8:
10 divided by 7 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 59490.71
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 9:
If we divide 30 by 7, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 59490.714
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 10:
20 divided by 7 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 59490.7142
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 11:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 59490.71428
Subtracting 56 from 60 leaves us 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 12:
7 goes into 40 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 59490.714285
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.

Step 13:
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: 59490.7142857
The remainder is 1 after subtracting 49 from 50.
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 14:
10 divided by 7 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 59490.71428571
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.

The final result is 59490.71428571 with a remainder of 3e-09.