We're dividing 22517 by 65 
We want to divide 22517 by 65.

Going ahead to step 1:
If we divide 2 by 65, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 65

Advancing to step 2:
When dividing 22 by 65, we get 0 with a remainder of 22.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 22, we end up with 22.
Append the next digit (5) from the dividend to 22 and continue with: 225 / 65

Going ahead to step 3:
When dividing 225 by 65, we get 3 with a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 195 from 225 leaves us with 30.
Bring next digit (1) of the dividend behind the 30 and repeat the process: 301 / 65

Moving on to step 4:
When dividing 301 by 65, we get 4 with a remainder of 41.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
If we subtract 260 from 301, we get 41.
Bring next digit (7) of the dividend behind the 41 and repeat the process: 417 / 65

On to step 5:
417 divided by 65 is 6 with a remainder of 27.
Write down 6 as next digit of the result. 
Result so far: 346.0
If we subtract 390 from 417, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 6:
65 goes into 270 4 times with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 346.4
The remainder is 10 after subtracting 260 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 346.41
If we subtract 65 from 100, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 8:
65 goes into 350 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 346.415
Subtract 325 from 350 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
250 divided by 65 is 3 with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 346.4153
Deduct 195 from 250 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 10:
65 goes into 550 8 times with a remainder of 30.
The next digit of our result is 8. 
Result so far: 346.41538
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
If we divide 300 by 65, we get 4 and a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 346.415384
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 12:
If we divide 400 by 65, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 346.4153846
If we take 390 away from 400, 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.

Moving on to step 13:
When dividing 100 by 65, we get 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 346.41538461
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 346.41538461 with a remainder of 3.5e-08.