8165 ÷ 83 
We want to figure out the number of times 8165 can be divided by 83.

Moving on to step 1:
When dividing 8 by 83, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 83

Going ahead to step 2:
83 can be fit into 81 0 times, resulting in a remainder of 81.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 81, we get 81.
Fetch the next digit (6) from the dividend, attach it to 81 and continue: 816 / 83

Moving on to step 3:
83 can be fit into 816 9 times, resulting in a remainder of 69.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 747 away from 816, we end up with 69.
Fetch the next digit (5) from the dividend, attach it to 69 and continue: 695 / 83

Moving on to step 4:
When dividing 695 by 83, we get 8 with a remainder of 31.
Record the quotient 8 as the next digit in the result. 
Result so far: 98.0
Subtracting 664 from 695 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 5:
The number 83 fits into 310 3 times, leaving a remainder of 61.
The next digit of our result is 3. 
Result so far: 98.3
Deduct 249 from 310 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 6:
The number 83 fits into 610 7 times, leaving a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 98.37
Deduct 581 from 610 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
If we divide 290 by 83, we get 3 and a remainder of 41.
Put 3 as the next digit of the answer. 
Result so far: 98.373
The remainder is 41 after subtracting 249 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 8:
The number 83 fits into 410 4 times, leaving a remainder of 78.
Record the quotient 4 as the next digit in the result. 
Result so far: 98.3734
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.

Step 9:
When dividing 780 by 83, we get 9 with a remainder of 33.
The number 9 becomes the next digit in our result. 
Result so far: 98.37349
Deduct 747 from 780 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 10:
330 divided by 83 is 3 with a remainder of 81.
The next digit of our result is 3. 
Result so far: 98.373493
If we subtract 249 from 330, we get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Going ahead to step 11:
The number 83 fits into 810 9 times, leaving a remainder of 63.
Write down 9 as next digit of the result. 
Result so far: 98.3734939
If we take 747 away from 810, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 12:
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: 98.37349397
If we subtract 581 from 630, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

The final outcome is 98.37349397, with a leftover of 4.9e-08.