86597 ÷ 24 
We want to divide 86597 by 24.

Step 1:
If we divide 8 by 24, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 24

Going ahead to step 2:
24 goes into 86 3 times with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 72 from 86 to get 14.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 24

Let's proceed to step 3:
24 can be fit into 145 6 times, resulting in a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 36.0
Subtracting 144 from 145 leaves us with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 24

On to step 4:
If we divide 19 by 24, we get 0 and a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 360.0
The remainder is 19 after subtracting 0 from 19.
Append the next digit (7) from the dividend to 19 and continue with: 197 / 24

Let's proceed to step 5:
24 can be fit into 197 8 times, resulting in a remainder of 5.
The next digit of our result is 8. 
Result so far: 3608.0
Deduct 192 from 197 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.

Going ahead to step 6:
24 can be fit into 50 2 times, resulting in a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 3608.2
If we subtract 48 from 50, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
When dividing 20 by 24, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 3608.2
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
200 divided by 24 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 3608.208
If we take 192 away from 200, we end up 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 9:
The number 24 fits into 80 3 times, leaving a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 3608.2083
If we subtract 72 from 80, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
If we divide 80 by 24, we get 3 and a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 3608.20833
If we subtract 72 from 80, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 3608.20833 with a balance of 8e-06.