83109 divided by 7 
The aim is to understand the frequency of 7 in 83109.

Moving on to step 1:
8 divided by 7 is 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 7 from 8 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 7

Step 2:
When dividing 13 by 7, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 7 away from 13, we end up with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 7

Going ahead to step 3:
When dividing 61 by 7, we get 8 with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 118.0
If we take 56 away from 61, we end up with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 7

Let's proceed to step 4:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 1187.0
If we take 49 away from 50, we end up with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 7

Step 5:
19 divided by 7 is 2 with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 11872.0
If we subtract 14 from 19, 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.

Moving on to step 6:
If we divide 50 by 7, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 11872.7
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.

Going ahead to step 7:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 11872.71
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.

On to step 8:
7 can be fit into 30 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 11872.714
Subtracting 28 from 30 leaves us 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 9:
7 can be fit into 20 2 times, resulting in a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 11872.7142
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.

On to step 10:
If we divide 60 by 7, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 11872.71428
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.

Step 11:
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: 11872.714285
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.

Going ahead to step 12:
50 divided by 7 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 11872.7142857
If we subtract 49 from 50, we 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 13:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 11872.71428571
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.

The final outcome is 11872.71428571, with a leftover of 3e-09.