83217 ÷ 66 
We're looking to find how many times 66 goes into 83217.

Moving on to step 1:
The number 66 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 66

Let's proceed to step 2:
If we divide 83 by 66, we get 1 and a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 66 from 83 to get 17.
Take the next digit (2) from the dividend and append it to 17, then repeat: 172 / 66

Moving on to step 3:
When dividing 172 by 66, we get 2 with a remainder of 40.
The next digit of our result is 2. 
Result so far: 12.0
If we take 132 away from 172, we end up with 40.
Grab the next digit (1) from the dividend, add it to 40, then carry on: 401 / 66

Step 4:
If we divide 401 by 66, we get 6 and a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 126.0
If we take 396 away from 401, we end up with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 66

On to step 5:
The number 66 fits into 57 0 times, leaving a remainder of 57.
Put 0 as the next digit of the answer. 
Result so far: 1260.0
If we take 0 away from 57, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 6:
66 can be fit into 570 8 times, resulting in a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 1260.8
The remainder is 42 after subtracting 528 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 7:
420 divided by 66 is 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 1260.86
Subtracting 396 from 420 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 8:
66 goes into 240 3 times with a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 1260.863
The remainder is 42 after subtracting 198 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 9:
66 goes into 420 6 times with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 1260.8636
If we take 396 away from 420, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 10:
When dividing 240 by 66, we get 3 with a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 1260.86363
If we subtract 198 from 240, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 11:
66 can be fit into 420 6 times, resulting in a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 1260.863636
Subtract 396 from 420 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 12:
The number 66 fits into 240 3 times, leaving a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 1260.8636363
If we take 198 away from 240, 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.

Moving on to step 13:
When dividing 420 by 66, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 1260.86363636
Subtracting 396 from 420 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 1260.86363636 with a remainder of 2.4e-08.