We look at the division of 821903 by 83 
We want to figure out the number of times 821903 can be divided by 83.

Step 1:
When dividing 8 by 83, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 83

On to step 2:
If we divide 82 by 83, we get 0 and a remainder of 82.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 82, we get 82.
Grab the next digit (1) from the dividend, add it to 82, then carry on: 821 / 83

Advancing to step 3:
83 goes into 821 9 times with a remainder of 74.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 74 after subtracting 747 from 821.
Grab the next digit (9) from the dividend, add it to 74, then carry on: 749 / 83

Going ahead to step 4:
83 goes into 749 9 times with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 99.0
Subtracting 747 from 749 leaves us with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 83

Going ahead to step 5:
83 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 990.0
The remainder is 20 after subtracting 0 from 20.
Bring next digit (3) of the dividend behind the 20 and repeat the process: 203 / 83

Moving on to step 6:
203 divided by 83 is 2 with a remainder of 37.
Use 2 as the next digit of our solution. 
Result so far: 9902.0
Subtracting 166 from 203 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 7:
83 goes into 370 4 times with a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 9902.4
If we take 332 away from 370, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
83 goes into 380 4 times with a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 9902.44
Subtracting 332 from 380 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

In conclusion, the division gives 9902.44 with a balance of 0.048.