We look at the division of 24181 by 23 
Our goal is to divide 24181 by 23.

On to step 1:
23 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 23

Going ahead to step 2:
If we divide 24 by 23, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 23 from 24 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 23

On to step 3:
23 goes into 11 0 times with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 11, we end up with 11.
Include the next digit (8) from the dividend after 11, then repeat: 118 / 23

Step 4:
23 goes into 118 5 times with a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 105.0
The remainder is 3 after subtracting 115 from 118.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 23

Going ahead to step 5:
23 can be fit into 31 1 times, resulting in a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1051.0
The remainder is 8 after subtracting 23 from 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 6:
If we divide 80 by 23, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 1051.3
If we take 69 away from 80, 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.

Step 7:
The number 23 fits into 110 4 times, leaving a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 1051.34
Subtract 92 from 110 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
180 divided by 23 is 7 with a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 1051.347
Subtract 161 from 180 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 9:
23 can be fit into 190 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 1051.3478
Subtract 184 from 190 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 10:
When dividing 60 by 23, we get 2 with a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 1051.34782
The remainder is 14 after subtracting 46 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 11:
When dividing 140 by 23, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 1051.347826
Subtract 138 from 140 to 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.

Advancing to step 12:
20 divided by 23 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 1051.347826
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 13:
The number 23 fits into 200 8 times, leaving a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 1051.34782608
Deduct 184 from 200 and we're left 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.

After the division, we end up with 1051.34782608 and a remainder of 1.6e-08.