We're dividing 170519 by 65 
We want to figure out the number of times 170519 can be divided by 65.

On to step 1:
If we divide 1 by 65, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 65

Moving on to step 2:
65 can be fit into 17 0 times, resulting in a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Fetch the next digit (0) from the dividend, attach it to 17 and continue: 170 / 65

Going ahead to step 3:
If we divide 170 by 65, we get 2 and a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 40 after subtracting 130 from 170.
Fetch the next digit (5) from the dividend, attach it to 40 and continue: 405 / 65

On to step 4:
The number 65 fits into 405 6 times, leaving a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 26.0
If we take 390 away from 405, we end up with 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 65

Let's proceed to step 5:
If we divide 151 by 65, we get 2 and a remainder of 21.
Use 2 as the next digit of our solution. 
Result so far: 262.0
The remainder is 21 after subtracting 130 from 151.
Append the next digit (9) from the dividend to 21 and continue with: 219 / 65

Step 6:
65 can be fit into 219 3 times, resulting in a remainder of 24.
Record the quotient 3 as the next digit in the result. 
Result so far: 2623.0
The remainder is 24 after subtracting 195 from 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
If we divide 240 by 65, we get 3 and a remainder of 45.
The number 3 becomes the next digit in our result. 
Result so far: 2623.3
Subtract 195 from 240 to 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.

Let's proceed to step 8:
65 goes into 450 6 times with a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 2623.36
If we subtract 390 from 450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 9:
65 goes into 600 9 times with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 2623.369
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.

Advancing to step 10:
When dividing 150 by 65, we get 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 2623.3692
Deduct 130 from 150 and we're left 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.

Step 11:
If we divide 200 by 65, we get 3 and a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 2623.36923
Subtracting 195 from 200 leaves us 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 12:
65 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 2623.36923
If we take 0 away from 50, we end up with 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 13:
500 divided by 65 is 7 with a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 2623.3692307
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 14:
If we divide 450 by 65, we get 6 and a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 2623.36923076
Subtracting 390 from 450 leaves us 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.

The final outcome is 2623.36923076, with a leftover of 6e-08.