We're dividing 7665 by 82 
Let's see how many times 82 fits into 7665.

Moving on to step 1:
When dividing 7 by 82, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 82

Let's proceed to step 2:
When dividing 76 by 82, we get 0 with a remainder of 76.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 76, we get 76.
Take the next digit (6) from the dividend and append it to 76, then repeat: 766 / 82

Step 3:
If we divide 766 by 82, we get 9 and a remainder of 28.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 28 after subtracting 738 from 766.
Bring next digit (5) of the dividend behind the 28 and repeat the process: 285 / 82

On to step 4:
82 goes into 285 3 times with a remainder of 39.
The next digit of our result is 3. 
Result so far: 93.0
If we take 246 away from 285, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 5:
82 can be fit into 390 4 times, resulting in a remainder of 62.
Write down 4 as next digit of the result. 
Result so far: 93.4
Deduct 328 from 390 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 6:
The number 82 fits into 620 7 times, leaving a remainder of 46.
Write down 7 as next digit of the result. 
Result so far: 93.47
Subtracting 574 from 620 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 7:
82 can be fit into 460 5 times, resulting in a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 93.475
If we subtract 410 from 460, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
The number 82 fits into 500 6 times, leaving a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 93.4756
Subtracting 492 from 500 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
82 goes into 80 0 times with a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 93.4756
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 10:
The number 82 fits into 800 9 times, leaving a remainder of 62.
The next digit of our result is 9. 
Result so far: 93.475609
Deduct 738 from 800 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 11:
620 divided by 82 is 7 with a remainder of 46.
Record the quotient 7 as the next digit in the result. 
Result so far: 93.4756097
Subtract 574 from 620 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 12:
460 divided by 82 is 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 93.47560975
If we subtract 410 from 460, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 93.47560975 with a balance of 5e-08.