8114 divided by 82 
Our goal is to divide 8114 by 82.

Advancing to step 1:
When dividing 8 by 82, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 82

Going ahead to step 2:
81 divided by 82 is 0 with a remainder of 81.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 81, we get 81.
Include the next digit (1) from the dividend after 81, then repeat: 811 / 82

Advancing to step 3:
If we divide 811 by 82, we get 9 and a remainder of 73.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 738 from 811, we get 73.
Include the next digit (4) from the dividend after 73, then repeat: 734 / 82

Going ahead to step 4:
82 goes into 734 8 times with a remainder of 78.
Put 8 as the next digit of the answer. 
Result so far: 98.0
Deduct 656 from 734 and we're left with 78.
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 5:
82 can be fit into 780 9 times, resulting in a remainder of 42.
The next digit of our result is 9. 
Result so far: 98.9
If we take 738 away from 780, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 6:
82 can be fit into 420 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 98.95
Subtract 410 from 420 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
When dividing 100 by 82, we get 1 with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 98.951
Subtracting 82 from 100 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
If we divide 180 by 82, we get 2 and a remainder of 16.
The next digit of our result is 2. 
Result so far: 98.9512
The remainder is 16 after subtracting 164 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
82 can be fit into 160 1 times, resulting in a remainder of 78.
Record the quotient 1 as the next digit in the result. 
Result so far: 98.95121
Subtracting 82 from 160 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 10:
82 goes into 780 9 times with a remainder of 42.
The number 9 becomes the next digit in our result. 
Result so far: 98.951219
The remainder is 42 after subtracting 738 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 11:
The number 82 fits into 420 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 98.9512195
Subtracting 410 from 420 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
82 can be fit into 100 1 times, resulting in a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 98.95121951
The remainder is 18 after subtracting 82 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 98.95121951 with a remainder of 1.8e-08.