39665 divided by 23 
We want to figure out the number of times 39665 can be divided by 23.

Step 1:
If we divide 3 by 23, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 23

Advancing to step 2:
23 goes into 39 1 times with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 23 from 39 leaves us with 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 23

Let's proceed to step 3:
If we divide 166 by 23, we get 7 and a remainder of 5.
The next digit of our result is 7. 
Result so far: 17.0
If we take 161 away from 166, we end up with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 23

Moving on to step 4:
23 goes into 56 2 times with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 172.0
Deduct 46 from 56 and we're left with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 23

On to step 5:
If we divide 105 by 23, we get 4 and a remainder of 13.
The number 4 becomes the next digit in our result. 
Result so far: 1724.0
Subtracting 92 from 105 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 6:
When dividing 130 by 23, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 1724.5
If we subtract 115 from 130, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
23 can be fit into 150 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 1724.56
Subtract 138 from 150 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
120 divided by 23 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 1724.565
Deduct 115 from 120 and we're left 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.

Step 9:
If we divide 50 by 23, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 1724.5652
Deduct 46 from 50 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
The number 23 fits into 40 1 times, leaving a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1724.56521
The remainder is 17 after subtracting 23 from 40.
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 11:
170 divided by 23 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 1724.565217
If we take 161 away from 170, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 12:
23 goes into 90 3 times with a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 1724.5652173
If we take 69 away from 90, we end up 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.

Let's proceed to step 13:
23 goes into 210 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 1724.56521739
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.

The final outcome is 1724.56521739, with a leftover of 3e-09.