We look at the division of 6663 by 83 
We want to divide 6663 by 83.

Going ahead to step 1:
83 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 83

Let's proceed to step 2:
If we divide 66 by 83, we get 0 and a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 66 leaves us with 66.
Bring next digit (6) of the dividend behind the 66 and repeat the process: 666 / 83

Going ahead to step 3:
83 can be fit into 666 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 664 from 666 and we're left with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 83

Let's proceed to step 4:
The number 83 fits into 23 0 times, leaving a remainder of 23.
The next digit of our result is 0. 
Result so far: 80.0
Subtract 0 from 23 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 5:
The number 83 fits into 230 2 times, leaving a remainder of 64.
Write down 2 as next digit of the result. 
Result so far: 80.2
Subtract 166 from 230 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 6:
When dividing 640 by 83, we get 7 with a remainder of 59.
Record the quotient 7 as the next digit in the result. 
Result so far: 80.27
If we subtract 581 from 640, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 7:
The number 83 fits into 590 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 80.277
Subtract 581 from 590 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 80.277, and the remainder is 0.0009.