We look at the division of 42415 by 7 
The aim is to understand the frequency of 7 in 42415.

Let's proceed to step 1:
7 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 7

Going ahead to step 2:
If we divide 42 by 7, we get 6 and a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 42 from 42 and we're left with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 7

Advancing to step 3:
The number 7 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 60.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

Moving on to step 4:
7 goes into 41 5 times with a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 605.0
Subtract 35 from 41 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 7

Let's proceed to step 5:
65 divided by 7 is 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 6059.0
Subtract 63 from 65 to get 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 6:
7 can be fit into 20 2 times, resulting in a remainder of 6.
The next digit of our result is 2. 
Result so far: 6059.2
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
7 can be fit into 60 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 6059.28
If we subtract 56 from 60, we 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.

Step 8:
7 goes into 40 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 6059.285
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.

Going ahead to step 9:
When dividing 50 by 7, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 6059.2857
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.

Let's proceed to step 10:
7 goes into 10 1 times with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 6059.28571
Deduct 7 from 10 and we're left 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.

Step 11:
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: 6059.285714
Subtract 28 from 30 to get 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 12:
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: 6059.2857142
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 13:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 6059.28571428
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.

The quotient of the division is 6059.28571428, and the remainder is 4e-09.