10609 ÷ 23 
Our goal is to divide 10609 by 23.

On to step 1:
23 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 23

Going ahead to step 2:
23 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 23

Going ahead to step 3:
23 can be fit into 106 4 times, resulting in a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 14 after subtracting 92 from 106.
Take the next digit (0) from the dividend and append it to 14, then repeat: 140 / 23

Going ahead to step 4:
The number 23 fits into 140 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 46.0
The remainder is 2 after subtracting 138 from 140.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 23

Step 5:
If we divide 29 by 23, we get 1 and a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 461.0
If we take 23 away from 29, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 6:
If we divide 60 by 23, we get 2 and a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 461.2
If we subtract 46 from 60, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
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: 461.26
Deduct 138 from 140 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
20 divided by 23 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 461.26
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.

Advancing to step 9:
The number 23 fits into 200 8 times, leaving a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 461.2608
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.

Going ahead to step 10:
When dividing 160 by 23, we get 6 with a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 461.26086
Subtracting 138 from 160 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 11:
If we divide 220 by 23, we get 9 and a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 461.260869
Subtract 207 from 220 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 12:
23 goes into 130 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 461.2608695
Subtracting 115 from 130 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 13:
If we divide 150 by 23, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 461.26086956
The remainder is 12 after subtracting 138 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 461.26086956 with a remaining 1.2e-08.