106885 ÷ 83 
The aim is to understand the frequency of 83 in 106885.

Let's proceed to step 1:
When dividing 1 by 83, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 83

Advancing to step 2:
If we divide 10 by 83, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 83

Step 3:
When dividing 106 by 83, we get 1 with a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 23 after subtracting 83 from 106.
Append the next digit (8) from the dividend to 23 and continue with: 238 / 83

On to step 4:
83 can be fit into 238 2 times, resulting in a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 166 from 238 leaves us with 72.
Bring next digit (8) of the dividend behind the 72 and repeat the process: 728 / 83

Advancing to step 5:
728 divided by 83 is 8 with a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 128.0
The remainder is 64 after subtracting 664 from 728.
Grab the next digit (5) from the dividend, add it to 64, then carry on: 645 / 83

Let's proceed to step 6:
If we divide 645 by 83, we get 7 and a remainder of 64.
The number 7 becomes the next digit in our result. 
Result so far: 1287.0
The remainder is 64 after subtracting 581 from 645.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 7:
When dividing 640 by 83, we get 7 with a remainder of 59.
The number 7 becomes the next digit in our result. 
Result so far: 1287.7
Subtracting 581 from 640 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 8:
If we divide 590 by 83, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 1287.77
The remainder is 9 after subtracting 581 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 1287.77 with a balance of 0.009.