519214 ÷ 65 
We're looking to find how many times 65 goes into 519214.

Going ahead to step 1:
The number 65 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 65

Advancing to step 2:
65 goes into 51 0 times with a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Bring next digit (9) of the dividend behind the 51 and repeat the process: 519 / 65

On to step 3:
519 divided by 65 is 7 with a remainder of 64.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 455 from 519, we get 64.
Take the next digit (2) from the dividend and append it to 64, then repeat: 642 / 65

Let's proceed to step 4:
When dividing 642 by 65, we get 9 with a remainder of 57.
The number 9 becomes the next digit in our result. 
Result so far: 79.0
Deduct 585 from 642 and we're left with 57.
Take the next digit (1) from the dividend and append it to 57, then repeat: 571 / 65

Moving on to step 5:
The number 65 fits into 571 8 times, leaving a remainder of 51.
The next digit of our result is 8. 
Result so far: 798.0
If we subtract 520 from 571, we get 51.
Include the next digit (4) from the dividend after 51, then repeat: 514 / 65

Going ahead to step 6:
The number 65 fits into 514 7 times, leaving a remainder of 59.
Record the quotient 7 as the next digit in the result. 
Result so far: 7987.0
Subtracting 455 from 514 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 7:
65 can be fit into 590 9 times, resulting in a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 7987.9
Deduct 585 from 590 and we're left 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.

Moving on to step 8:
65 can be fit into 50 0 times, resulting in a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 7987.9
Deduct 0 from 50 and we're left 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.

Advancing to step 9:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 7987.907
Deduct 455 from 500 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 10:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 7987.9076
The remainder is 60 after subtracting 390 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 11:
If we divide 600 by 65, we get 9 and a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 7987.90769
Subtracting 585 from 600 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 12:
65 goes into 150 2 times with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 7987.907692
If we take 130 away from 150, we end up 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 13:
200 divided by 65 is 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 7987.9076923
If we take 195 away from 200, we end up 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 14:
65 goes into 50 0 times with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 7987.9076923
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 7987.9076923 with a balance of 5e-08.