We look at the division of 23626 by 41 
Our goal is to divide 23626 by 41.

On to step 1:
41 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 41

Going ahead to step 2:
When dividing 23 by 41, we get 0 with a remainder of 23.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 23 leaves us with 23.
Bring next digit (6) of the dividend behind the 23 and repeat the process: 236 / 41

Going ahead to step 3:
The number 41 fits into 236 5 times, leaving a remainder of 31.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 31 after subtracting 205 from 236.
Grab the next digit (2) from the dividend, add it to 31, then carry on: 312 / 41

Going ahead to step 4:
When dividing 312 by 41, we get 7 with a remainder of 25.
Write down 7 as next digit of the result. 
Result so far: 57.0
If we subtract 287 from 312, we get 25.
Include the next digit (6) from the dividend after 25, then repeat: 256 / 41

On to step 5:
The number 41 fits into 256 6 times, leaving a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 576.0
If we subtract 246 from 256, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 6:
If we divide 100 by 41, we get 2 and a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 576.2
The remainder is 18 after subtracting 82 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
If we divide 180 by 41, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 576.24
If we take 164 away from 180, 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.

Let's proceed to step 8:
When dividing 160 by 41, we get 3 with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 576.243
If we take 123 away from 160, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 9:
When dividing 370 by 41, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 576.2439
If we subtract 369 from 370, 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.

Moving on to step 10:
If we divide 10 by 41, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 576.2439
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.

On to step 11:
41 can be fit into 100 2 times, resulting in a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 576.243902
Deduct 82 from 100 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 12:
41 can be fit into 180 4 times, resulting in a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 576.2439024
Subtracting 164 from 180 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.

Let's proceed to step 13:
160 divided by 41 is 3 with a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 576.24390243
Subtracting 123 from 160 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

In conclusion, the division gives 576.24390243 with a balance of 3.7e-08.