We look at the division of 266338 by 23 
Our goal is to divide 266338 by 23.

Step 1:
23 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 23

Step 2:
23 goes into 26 1 times with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 23 away from 26, we end up with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 23

Going ahead to step 3:
23 can be fit into 36 1 times, resulting in a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 11.0
The remainder is 13 after subtracting 23 from 36.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 23

Going ahead to step 4:
The number 23 fits into 133 5 times, leaving a remainder of 18.
Record the quotient 5 as the next digit in the result. 
Result so far: 115.0
Deduct 115 from 133 and we're left with 18.
Fetch the next digit (3) from the dividend, attach it to 18 and continue: 183 / 23

Step 5:
23 goes into 183 7 times with a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 1157.0
If we take 161 away from 183, we end up with 22.
Include the next digit (8) from the dividend after 22, then repeat: 228 / 23

Moving on to step 6:
When dividing 228 by 23, we get 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 11579.0
Subtracting 207 from 228 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
The number 23 fits into 210 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 11579.9
If we subtract 207 from 210, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
The number 23 fits into 30 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 11579.91
If we take 23 away from 30, we end up with 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 9:
23 can be fit into 70 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 11579.913
The remainder is 1 after subtracting 69 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
23 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 11579.913
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
23 can be fit into 100 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 11579.91304
Subtracting 92 from 100 leaves us 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.

Moving on to step 12:
When dividing 80 by 23, we get 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 11579.913043
Subtract 69 from 80 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 13:
23 goes into 110 4 times with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 11579.9130434
If we take 92 away from 110, we end up 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.

Going ahead to step 14:
When dividing 180 by 23, we get 7 with a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 11579.91304347
If we subtract 161 from 180, we 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.

The final outcome is 11579.91304347, with a leftover of 1.9e-08.