96831 ÷ 13 
We're looking to find how many times 13 goes into 96831.

On to step 1:
The number 13 fits into 9 0 times, leaving a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 13

Going ahead to step 2:
If we divide 96 by 13, we get 7 and a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 91 from 96 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 13

Going ahead to step 3:
13 goes into 58 4 times with a remainder of 6.
The next digit of our result is 4. 
Result so far: 74.0
If we subtract 52 from 58, we get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 13

On to step 4:
13 can be fit into 63 4 times, resulting in a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 744.0
Deduct 52 from 63 and we're left with 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 13

Advancing to step 5:
When dividing 111 by 13, we get 8 with a remainder of 7.
The next digit of our result is 8. 
Result so far: 7448.0
Deduct 104 from 111 and we're left 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.

Moving on to step 6:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 7448.5
Deduct 65 from 70 and we're left 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 7:
When dividing 50 by 13, we get 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 7448.53
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.

Step 8:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 7448.538
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.

Moving on to step 9:
If we divide 60 by 13, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 7448.5384
The remainder is 8 after subtracting 52 from 60.
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:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 7448.53846
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.

Let's proceed to step 11:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 7448.538461
If we take 13 away from 20, we end up 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.

On to step 12:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 7448.5384615
Deduct 65 from 70 and we're left 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.

Advancing to step 13:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 7448.53846153
If we take 39 away from 50, we end up with 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 7448.53846153 with a balance of 1.1e-08.