505868 ÷ 65 
We want to figure out the number of times 505868 can be divided by 65.

Let's proceed to step 1:
65 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 65

Let's proceed to step 2:
When dividing 50 by 65, we get 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Include the next digit (5) from the dividend after 50, then repeat: 505 / 65

Step 3:
If we divide 505 by 65, we get 7 and a remainder of 50.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 455 from 505 leaves us with 50.
Fetch the next digit (8) from the dividend, attach it to 50 and continue: 508 / 65

Let's proceed to step 4:
508 divided by 65 is 7 with a remainder of 53.
The next digit of our result is 7. 
Result so far: 77.0
The remainder is 53 after subtracting 455 from 508.
Fetch the next digit (6) from the dividend, attach it to 53 and continue: 536 / 65

Let's proceed to step 5:
65 goes into 536 8 times with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 778.0
The remainder is 16 after subtracting 520 from 536.
Bring next digit (8) of the dividend behind the 16 and repeat the process: 168 / 65

Moving on to step 6:
168 divided by 65 is 2 with a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 7782.0
Subtracting 130 from 168 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
The number 65 fits into 380 5 times, leaving a remainder of 55.
The next digit of our result is 5. 
Result so far: 7782.5
Subtracting 325 from 380 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.

Going ahead to step 8:
550 divided by 65 is 8 with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 7782.58
Subtract 520 from 550 to get 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 9:
65 goes into 300 4 times with a remainder of 40.
The next digit of our result is 4. 
Result so far: 7782.584
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.

Step 10:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 7782.5846
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.

Going ahead to step 11:
100 divided by 65 is 1 with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 7782.58461
If we take 65 away from 100, we end up 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.

On to step 12:
65 goes into 350 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 7782.584615
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 13:
If we divide 250 by 65, we get 3 and a remainder of 55.
The next digit of our result is 3. 
Result so far: 7782.5846153
If we subtract 195 from 250, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 14:
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: 7782.58461538
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 7782.58461538 with a balance of 3e-08.