103689 ÷ 82 
The aim is to understand the frequency of 82 in 103689.

Going ahead to step 1:
The number 82 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 82

Let's proceed to step 2:
When dividing 10 by 82, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 82

Step 3:
The number 82 fits into 103 1 times, leaving a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 82 from 103 leaves us with 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 82

On to step 4:
The number 82 fits into 216 2 times, leaving a remainder of 52.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 164 from 216 to get 52.
Fetch the next digit (8) from the dividend, attach it to 52 and continue: 528 / 82

Let's proceed to step 5:
The number 82 fits into 528 6 times, leaving a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 126.0
If we take 492 away from 528, we end up with 36.
Grab the next digit (9) from the dividend, add it to 36, then carry on: 369 / 82

Step 6:
82 goes into 369 4 times with a remainder of 41.
Write down 4 as next digit of the result. 
Result so far: 1264.0
Deduct 328 from 369 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 7:
82 can be fit into 410 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 1264.5
Subtract 410 from 410 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
When dividing 0 by 82, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 1264.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
If we divide 0 by 82, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1264.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 1264.5, and the remainder is 0.0.