We're dividing 682098 by 7 
The aim is to understand the frequency of 7 in 682098.

Advancing to step 1:
When dividing 6 by 7, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 7

Moving on to step 2:
When dividing 68 by 7, we get 9 with a remainder of 5.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 5 after subtracting 63 from 68.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 7

Going ahead to step 3:
The number 7 fits into 52 7 times, leaving a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 97.0
If we take 49 away from 52, we end up with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 7

On to step 4:
When dividing 30 by 7, we get 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 974.0
If we subtract 28 from 30, we get 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 7

Moving on to step 5:
29 divided by 7 is 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 9744.0
If we subtract 28 from 29, we get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 7

Moving on to step 6:
7 goes into 18 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 97442.0
Subtracting 14 from 18 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.

Let's proceed to step 7:
40 divided by 7 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 97442.5
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 8:
7 goes into 50 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 97442.57
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.

On to step 9:
When dividing 10 by 7, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 97442.571
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.

Moving on to step 10:
30 divided by 7 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 97442.5714
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.

Advancing to step 11:
When dividing 20 by 7, we get 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 97442.57142
If we subtract 14 from 20, we 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.

Advancing to step 12:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 97442.571428
The remainder is 4 after subtracting 56 from 60.
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 13:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 97442.5714285
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 14:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 97442.57142857
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.

The final outcome is 97442.57142857, with a leftover of 1e-09.