86503 ÷ 24 
We want to figure out the number of times 86503 can be divided by 24.

Going ahead to step 1:
The number 24 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 24

Step 2:
When dividing 86 by 24, we get 3 with a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 14 after subtracting 72 from 86.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 24

On to step 3:
If we divide 145 by 24, we get 6 and a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 36.0
If we take 144 away from 145, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 24

Moving on to step 4:
10 divided by 24 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 360.0
If we subtract 0 from 10, we get 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 24

Let's proceed to step 5:
If we divide 103 by 24, we get 4 and a remainder of 7.
The next digit of our result is 4. 
Result so far: 3604.0
If we subtract 96 from 103, we get 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:
24 can be fit into 70 2 times, resulting in a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 3604.2
The remainder is 22 after subtracting 48 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
The number 24 fits into 220 9 times, leaving a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 3604.29
Deduct 216 from 220 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.

Let's proceed to step 8:
24 goes into 40 1 times with a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 3604.291
If we subtract 24 from 40, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
160 divided by 24 is 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 3604.2916
If we take 144 away from 160, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 10:
The number 24 fits into 160 6 times, leaving a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 3604.29166
Subtracting 144 from 160 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 3604.29166 with a remaining 1.6e-05.