We look at the division of 96672 by 13 
Let's see how many times 13 fits into 96672.

Moving on to step 1:
9 divided by 13 is 0 with 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.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 13

Advancing to step 2:
13 goes into 96 7 times with a remainder of 5.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 91 from 96 to get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 13

Advancing to step 3:
If we divide 56 by 13, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 74.0
If we take 52 away from 56, we end up with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 13

Advancing to step 4:
If we divide 47 by 13, we get 3 and a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 743.0
If we subtract 39 from 47, we get 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 13

On to step 5:
13 goes into 82 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 7436.0
Subtract 78 from 82 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 6:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 7436.3
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 7:
13 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 7436.3
Deduct 0 from 10 and we're left with 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 8:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 7436.307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 9:
90 divided by 13 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 7436.3076
Subtract 78 from 90 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.

Step 10:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 7436.30769
Subtracting 117 from 120 leaves us 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.

Step 11:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 7436.307692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 7436.3076923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 13:
If we divide 10 by 13, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 7436.3076923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 7436.3076923 with a balance of 1e-08.