We look at the division of 32117 by 13 
We're looking to find how many times 13 goes into 32117.

Advancing to step 1:
3 divided by 13 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 13

On to step 2:
32 divided by 13 is 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 26 from 32 and we're left with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 13

Step 3:
The number 13 fits into 61 4 times, leaving a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
The remainder is 9 after subtracting 52 from 61.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 13

Advancing to step 4:
13 can be fit into 91 7 times, resulting in a remainder of 0.
The next digit of our result is 7. 
Result so far: 247.0
If we take 91 away from 91, we end up with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 13

Advancing to step 5:
13 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 2470.0
Subtracting 0 from 7 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 6:
13 goes into 70 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 2470.5
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
50 divided by 13 is 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 2470.53
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
When dividing 110 by 13, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 2470.538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
60 divided by 13 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 2470.5384
Subtracting 52 from 60 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.

On to step 10:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 2470.53846
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 2470.538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 2470.5384615
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 13:
13 goes into 50 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 2470.53846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 2470.53846153 with a balance of 1.1e-08.