We're dividing 261265 by 23 
We want to divide 261265 by 23.

Moving on to step 1:
When dividing 2 by 23, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 23

Going ahead to step 2:
23 goes into 26 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 23 from 26 and we're left with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 23

Step 3:
23 can be fit into 31 1 times, resulting in a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 23 away from 31, we end up with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 23

Going ahead to step 4:
If we divide 82 by 23, we get 3 and a remainder of 13.
The next digit of our result is 3. 
Result so far: 113.0
Subtracting 69 from 82 leaves us with 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 23

Going ahead to step 5:
If we divide 136 by 23, we get 5 and a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 1135.0
If we take 115 away from 136, we end up with 21.
Include the next digit (5) from the dividend after 21, then repeat: 215 / 23

Moving on to step 6:
If we divide 215 by 23, we get 9 and a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 11359.0
The remainder is 8 after subtracting 207 from 215.
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 7:
When dividing 80 by 23, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 11359.3
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.

Going ahead to step 8:
The number 23 fits into 110 4 times, leaving a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 11359.34
If we subtract 92 from 110, we 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 9:
If we divide 180 by 23, we get 7 and a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 11359.347
If we take 161 away from 180, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 10:
190 divided by 23 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 11359.3478
If we subtract 184 from 190, we 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 11:
If we divide 60 by 23, we get 2 and a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 11359.34782
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.

Step 12:
When dividing 140 by 23, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 11359.347826
If we subtract 138 from 140, 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.

Moving on to step 13:
When dividing 20 by 23, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 11359.347826
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 14:
200 divided by 23 is 8 with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 11359.34782608
If we take 184 away from 200, 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.

In conclusion, the division gives 11359.34782608 with a balance of 1.6e-08.