Let's divide 517555 by 65
We're looking to find how many times 65 goes into 517555.

On to step 1:
If we divide 5 by 65, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 65

Moving on to step 2:
If we divide 51 by 65, we get 0 and a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Append the next digit (7) from the dividend to 51 and continue with: 517 / 65

Going ahead to step 3:
The number 65 fits into 517 7 times, leaving a remainder of 62.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 455 from 517 to get 62.
Take the next digit (5) from the dividend and append it to 62, then repeat: 625 / 65

On to step 4:
When dividing 625 by 65, we get 9 with a remainder of 40.
The next digit of our result is 9. 
Result so far: 79.0
If we subtract 585 from 625, we get 40.
Grab the next digit (5) from the dividend, add it to 40, then carry on: 405 / 65

Let's proceed to step 5:
If we divide 405 by 65, we get 6 and a remainder of 15.
Record the quotient 6 as the next digit in the result. 
Result so far: 796.0
If we subtract 390 from 405, we get 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 65

Moving on to step 6:
65 goes into 155 2 times with a remainder of 25.
The next digit of our result is 2. 
Result so far: 7962.0
If we take 130 away from 155, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 7:
65 goes into 250 3 times with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 7962.3
Subtracting 195 from 250 leaves us 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 8:
65 can be fit into 550 8 times, resulting in a remainder of 30.
The next digit of our result is 8. 
Result so far: 7962.38
Deduct 520 from 550 and we're left 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.

On to step 9:
The number 65 fits into 300 4 times, leaving a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 7962.384
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.

Advancing to step 10:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 7962.3846
Subtract 390 from 400 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
100 divided by 65 is 1 with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 7962.38461
Deduct 65 from 100 and we're left with 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 12:
350 divided by 65 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 7962.384615
Subtracting 325 from 350 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 13:
250 divided by 65 is 3 with a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 7962.3846153
The remainder is 55 after subtracting 195 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 14:
550 divided by 65 is 8 with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 7962.38461538
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.

The final outcome is 7962.38461538, with a leftover of 3e-08.