We look at the division of 689837 by 7 
The aim is to understand the frequency of 7 in 689837.

Moving on to step 1:
The number 7 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 7

Moving on to step 2:
68 divided by 7 is 9 with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 63 from 68, we get 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 7

Step 3:
7 can be fit into 59 8 times, resulting in a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 98.0
If we subtract 56 from 59, we get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 7

On to step 4:
If we divide 38 by 7, we get 5 and a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 985.0
Deduct 35 from 38 and we're left with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 7

Moving on to step 5:
7 can be fit into 33 4 times, resulting in a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 9854.0
If we take 28 away from 33, we end up with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 7

Going ahead to step 6:
The number 7 fits into 57 8 times, leaving a remainder of 1.
The next digit of our result is 8. 
Result so far: 98548.0
If we take 56 away from 57, 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.

Going ahead to step 7:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 98548.1
If we subtract 7 from 10, we 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 8:
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: 98548.14
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.

Step 9:
20 divided by 7 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 98548.142
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.

Step 10:
60 divided by 7 is 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 98548.1428
Subtract 56 from 60 to 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 11:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 98548.14285
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.

Moving on to step 12:
50 divided by 7 is 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 98548.142857
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.

On to step 13:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 98548.1428571
If we subtract 7 from 10, we 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.

Step 14:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 98548.14285714
If we subtract 28 from 30, we 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.

Our division results in 98548.14285714 with a remaining 2e-09.