22665 ÷ 65 
We're looking to find how many times 65 goes into 22665.

Moving on to step 1:
2 divided by 65 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 65

On to step 2:
If we divide 22 by 65, we get 0 and a remainder of 22.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 22, we get 22.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 65

Step 3:
If we divide 226 by 65, we get 3 and a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 195 from 226 leaves us with 31.
Grab the next digit (6) from the dividend, add it to 31, then carry on: 316 / 65

Going ahead to step 4:
When dividing 316 by 65, we get 4 with a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 34.0
Subtract 260 from 316 to get 56.
Include the next digit (5) from the dividend after 56, then repeat: 565 / 65

Let's proceed to step 5:
65 can be fit into 565 8 times, resulting in a remainder of 45.
Use 8 as the next digit of our solution. 
Result so far: 348.0
If we subtract 520 from 565, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 6:
If we divide 450 by 65, we get 6 and a remainder of 60.
The next digit of our result is 6. 
Result so far: 348.6
Deduct 390 from 450 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 7:
When dividing 600 by 65, we get 9 with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 348.69
The remainder is 15 after subtracting 585 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
If we divide 150 by 65, we get 2 and a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 348.692
If we take 130 away from 150, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
65 goes into 200 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 348.6923
The remainder is 5 after subtracting 195 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
65 goes into 50 0 times with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 348.6923
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 11:
65 can be fit into 500 7 times, resulting in a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 348.692307
Subtracting 455 from 500 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 12:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 348.6923076
Deduct 390 from 450 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 13:
When dividing 600 by 65, we get 9 with a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 348.69230769
Subtract 585 from 600 to 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.

Our division results in 348.69230769 with a remaining 1.5e-08.