We look at the division of 309963 by 83 
We're looking to find how many times 83 goes into 309963.

On to step 1:
83 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 83

Step 2:
If we divide 30 by 83, we get 0 and a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Include the next digit (9) from the dividend after 30, then repeat: 309 / 83

Going ahead to step 3:
If we divide 309 by 83, we get 3 and a remainder of 60.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 249 from 309 and we're left with 60.
Take the next digit (9) from the dividend and append it to 60, then repeat: 609 / 83

Going ahead to step 4:
609 divided by 83 is 7 with a remainder of 28.
Write down 7 as next digit of the result. 
Result so far: 37.0
Subtract 581 from 609 to get 28.
Take the next digit (6) from the dividend and append it to 28, then repeat: 286 / 83

On to step 5:
The number 83 fits into 286 3 times, leaving a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 373.0
If we subtract 249 from 286, we get 37.
Fetch the next digit (3) from the dividend, attach it to 37 and continue: 373 / 83

Moving on to step 6:
The number 83 fits into 373 4 times, leaving a remainder of 41.
Use 4 as the next digit of our solution. 
Result so far: 3734.0
If we subtract 332 from 373, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 7:
410 divided by 83 is 4 with a remainder of 78.
Use 4 as the next digit of our solution. 
Result so far: 3734.4
The remainder is 78 after subtracting 332 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 8:
83 can be fit into 780 9 times, resulting in a remainder of 33.
The number 9 becomes the next digit in our result. 
Result so far: 3734.49
The remainder is 33 after subtracting 747 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 9:
83 can be fit into 330 3 times, resulting in a remainder of 81.
Put 3 as the next digit of the answer. 
Result so far: 3734.493
The remainder is 81 after subtracting 249 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

On to step 10:
810 divided by 83 is 9 with a remainder of 63.
The next digit of our result is 9. 
Result so far: 3734.4939
If we subtract 747 from 810, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 11:
The number 83 fits into 630 7 times, leaving a remainder of 49.
Put 7 as the next digit of the answer. 
Result so far: 3734.49397
If we take 581 away from 630, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 12:
83 can be fit into 490 5 times, resulting in a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 3734.493975
Deduct 415 from 490 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 13:
83 goes into 750 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 3734.4939759
If we take 747 away from 750, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 14:
30 divided by 83 is 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 3734.4939759
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 3734.4939759, and the remainder is 3e-08.