Let's divide 2003 by 82
The aim is to understand the frequency of 82 in 2003.

On to step 1:
2 divided by 82 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 82

Moving on to step 2:
82 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 20 to get 20.
Fetch the next digit (0) from the dividend, attach it to 20 and continue: 200 / 82

Going ahead to step 3:
200 divided by 82 is 2 with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 36 after subtracting 164 from 200.
Append the next digit (3) from the dividend to 36 and continue with: 363 / 82

Let's proceed to step 4:
82 can be fit into 363 4 times, resulting in a remainder of 35.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
Deduct 328 from 363 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 5:
When dividing 350 by 82, we get 4 with a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 24.4
The remainder is 22 after subtracting 328 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 6:
220 divided by 82 is 2 with a remainder of 56.
Use 2 as the next digit of our solution. 
Result so far: 24.42
If we subtract 164 from 220, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 7:
The number 82 fits into 560 6 times, leaving a remainder of 68.
Write down 6 as next digit of the result. 
Result so far: 24.426
Deduct 492 from 560 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 8:
If we divide 680 by 82, we get 8 and a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 24.4268
If we take 656 away from 680, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
82 goes into 240 2 times with a remainder of 76.
The number 2 becomes the next digit in our result. 
Result so far: 24.42682
If we take 164 away from 240, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 10:
82 goes into 760 9 times with a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 24.426829
If we subtract 738 from 760, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 11:
The number 82 fits into 220 2 times, leaving a remainder of 56.
Write down 2 as next digit of the result. 
Result so far: 24.4268292
If we take 164 away from 220, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 12:
If we divide 560 by 82, we get 6 and a remainder of 68.
Write down 6 as next digit of the result. 
Result so far: 24.42682926
Deduct 492 from 560 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

In conclusion, the division gives 24.42682926 with a balance of 6.8e-08.