We divide 519119 by 65
Our goal is to divide 519119 by 65.

Step 1:
When dividing 5 by 65, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 65

Moving on to step 2:
65 goes into 51 0 times with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Append the next digit (9) from the dividend to 51 and continue with: 519 / 65

Let's proceed to step 3:
65 can be fit into 519 7 times, resulting in a remainder of 64.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 455 from 519, we get 64.
Grab the next digit (1) from the dividend, add it to 64, then carry on: 641 / 65

Advancing to step 4:
The number 65 fits into 641 9 times, leaving a remainder of 56.
Use 9 as the next digit of our solution. 
Result so far: 79.0
Subtracting 585 from 641 leaves us with 56.
Bring next digit (1) of the dividend behind the 56 and repeat the process: 561 / 65

Going ahead to step 5:
The number 65 fits into 561 8 times, leaving a remainder of 41.
The number 8 becomes the next digit in our result. 
Result so far: 798.0
Deduct 520 from 561 and we're left with 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 65

Going ahead to step 6:
The number 65 fits into 419 6 times, leaving a remainder of 29.
The number 6 becomes the next digit in our result. 
Result so far: 7986.0
Deduct 390 from 419 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
When dividing 290 by 65, we get 4 with a remainder of 30.
Put 4 as the next digit of the answer. 
Result so far: 7986.4
If we take 260 away from 290, we end up 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.

Advancing to step 8:
When dividing 300 by 65, we get 4 with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 7986.44
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 7986.44, with a leftover of 0.04.