We're dividing 6517 by 52 
We want to divide 6517 by 52.

Going ahead to step 1:
52 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 52

Moving on to step 2:
If we divide 65 by 52, we get 1 and a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 52 from 65, we get 13.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 52

Advancing to step 3:
If we divide 131 by 52, we get 2 and a remainder of 27.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtract 104 from 131 to get 27.
Bring next digit (7) of the dividend behind the 27 and repeat the process: 277 / 52

Let's proceed to step 4:
The number 52 fits into 277 5 times, leaving a remainder of 17.
Put 5 as the next digit of the answer. 
Result so far: 125.0
If we subtract 260 from 277, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 5:
52 goes into 170 3 times with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 125.3
Subtracting 156 from 170 leaves us with 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 6:
52 goes into 140 2 times with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 125.32
If we subtract 104 from 140, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 7:
When dividing 360 by 52, we get 6 with a remainder of 48.
The next digit of our result is 6. 
Result so far: 125.326
Subtracting 312 from 360 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 8:
When dividing 480 by 52, we get 9 with a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 125.3269
Subtract 468 from 480 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.

Moving on to step 9:
52 goes into 120 2 times with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 125.32692
Deduct 104 from 120 and we're left 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.

Step 10:
52 can be fit into 160 3 times, resulting in a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 125.326923
The remainder is 4 after subtracting 156 from 160.
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 11:
52 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 125.326923
Deduct 0 from 40 and we're left with 40.
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 12:
52 can be fit into 400 7 times, resulting in a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 125.32692307
If we take 364 away from 400, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final result is 125.32692307 with a remainder of 3.6e-08.