Let's divide 102217 by 91
Let's see how many times 91 fits into 102217.

Step 1:
91 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 91

Let's proceed to step 2:
The number 91 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 91

Advancing to step 3:
If we divide 102 by 91, we get 1 and a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 91 from 102 to get 11.
Grab the next digit (2) from the dividend, add it to 11, then carry on: 112 / 91

On to step 4:
If we divide 112 by 91, we get 1 and a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 11.0
The remainder is 21 after subtracting 91 from 112.
Take the next digit (1) from the dividend and append it to 21, then repeat: 211 / 91

Step 5:
The number 91 fits into 211 2 times, leaving a remainder of 29.
The number 2 becomes the next digit in our result. 
Result so far: 112.0
If we subtract 182 from 211, we get 29.
Fetch the next digit (7) from the dividend, attach it to 29 and continue: 297 / 91

Let's proceed to step 6:
91 can be fit into 297 3 times, resulting in a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 1123.0
If we take 273 away from 297, 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 7:
91 goes into 240 2 times with a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 1123.2
Deduct 182 from 240 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 8:
The number 91 fits into 580 6 times, leaving a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 1123.26
The remainder is 34 after subtracting 546 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 9:
The number 91 fits into 340 3 times, leaving a remainder of 67.
The next digit of our result is 3. 
Result so far: 1123.263
Subtract 273 from 340 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 10:
The number 91 fits into 670 7 times, leaving a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 1123.2637
If we subtract 637 from 670, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 11:
If we divide 330 by 91, we get 3 and a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 1123.26373
If we take 273 away from 330, 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.

Moving on to step 12:
The number 91 fits into 570 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 1123.263736
The remainder is 24 after subtracting 546 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 13:
240 divided by 91 is 2 with a remainder of 58.
Write down 2 as next digit of the result. 
Result so far: 1123.2637362
Subtract 182 from 240 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 14:
580 divided by 91 is 6 with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 1123.26373626
If we subtract 546 from 580, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 1123.26373626 with a remainder of 3.4e-08.