115626 ÷ 23 
Our goal is to divide 115626 by 23.

Advancing to step 1:
1 divided by 23 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 23

Step 2:
If we divide 11 by 23, we get 0 and a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 23

Going ahead to step 3:
23 goes into 115 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 115 from 115 and we're left with 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 23

On to step 4:
23 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 50.0
If we subtract 0 from 6, we get 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 23

Let's proceed to step 5:
23 goes into 62 2 times with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 502.0
Subtract 46 from 62 to get 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 23

Step 6:
23 goes into 166 7 times with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 5027.0
Subtracting 161 from 166 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
50 divided by 23 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 5027.2
Subtract 46 from 50 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
23 goes into 40 1 times with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 5027.21
Subtracting 23 from 40 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 9:
23 goes into 170 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 5027.217
The remainder is 9 after subtracting 161 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 10:
23 goes into 90 3 times with a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 5027.2173
Subtract 69 from 90 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 11:
When dividing 210 by 23, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 5027.21739
Subtract 207 from 210 to 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.

Step 12:
The number 23 fits into 30 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 5027.217391
Deduct 23 from 30 and we're left 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.

Moving on to step 13:
23 can be fit into 70 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 5027.2173913
Subtracting 69 from 70 leaves us with 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 14:
23 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 5027.2173913
Deduct 0 from 10 and we're left 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.

In conclusion, the division gives 5027.2173913 with a balance of 1e-08.