We look at the division of 603312 by 82 
We want to divide 603312 by 82.

Advancing to step 1:
82 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 82

Moving on to step 2:
The number 82 fits into 60 0 times, leaving a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 60 after subtracting 0 from 60.
Take the next digit (3) from the dividend and append it to 60, then repeat: 603 / 82

Moving on to step 3:
If we divide 603 by 82, we get 7 and a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 574 away from 603, we end up with 29.
Take the next digit (3) from the dividend and append it to 29, then repeat: 293 / 82

Moving on to step 4:
The number 82 fits into 293 3 times, leaving a remainder of 47.
The number 3 becomes the next digit in our result. 
Result so far: 73.0
Deduct 246 from 293 and we're left with 47.
Fetch the next digit (1) from the dividend, attach it to 47 and continue: 471 / 82

On to step 5:
The number 82 fits into 471 5 times, leaving a remainder of 61.
Record the quotient 5 as the next digit in the result. 
Result so far: 735.0
Deduct 410 from 471 and we're left with 61.
Take the next digit (2) from the dividend and append it to 61, then repeat: 612 / 82

Moving on to step 6:
If we divide 612 by 82, we get 7 and a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 7357.0
If we subtract 574 from 612, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
If we divide 380 by 82, we get 4 and a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 7357.4
If we subtract 328 from 380, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 8:
When dividing 520 by 82, we get 6 with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 7357.46
Deduct 492 from 520 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
82 can be fit into 280 3 times, resulting in a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 7357.463
If we subtract 246 from 280, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
340 divided by 82 is 4 with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 7357.4634
If we take 328 away from 340, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
When dividing 120 by 82, we get 1 with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 7357.46341
If we subtract 82 from 120, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 12:
82 goes into 380 4 times with a remainder of 52.
Record the quotient 4 as the next digit in the result. 
Result so far: 7357.463414
Subtract 328 from 380 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 13:
82 can be fit into 520 6 times, resulting in a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 7357.4634146
Deduct 492 from 520 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 14:
If we divide 280 by 82, we get 3 and a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 7357.46341463
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Our division results in 7357.46341463 with a remaining 3.4e-08.