86332 divided by 13 
We're looking to find how many times 13 goes into 86332.

Let's proceed to step 1:
8 divided by 13 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 13

On to step 2:
The number 13 fits into 86 6 times, leaving a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 78 from 86 leaves us with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 13

Advancing to step 3:
When dividing 83 by 13, we get 6 with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
If we subtract 78 from 83, we get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 13

On to step 4:
The number 13 fits into 53 4 times, leaving a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 664.0
The remainder is 1 after subtracting 52 from 53.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 13

Advancing to step 5:
The number 13 fits into 12 0 times, leaving a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 6640.0
Subtract 0 from 12 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 6:
If we divide 120 by 13, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 6640.9
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
30 divided by 13 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 6640.92
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
When dividing 40 by 13, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 6640.923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 6640.923
Subtract 0 from 10 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.

Let's proceed to step 10:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 6640.92307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 11:
13 goes into 90 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 6640.923076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 12:
If we divide 120 by 13, we get 9 and a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 6640.9230769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 13:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 6640.92307692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 6640.92307692 with a remainder of 4e-09.