We're dividing 65114 by 75 
We want to divide 65114 by 75.

On to step 1:
The number 75 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 75

On to step 2:
75 goes into 65 0 times with a remainder of 65.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 65 to get 65.
Fetch the next digit (1) from the dividend, attach it to 65 and continue: 651 / 75

Going ahead to step 3:
75 goes into 651 8 times with a remainder of 51.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 51 after subtracting 600 from 651.
Bring next digit (1) of the dividend behind the 51 and repeat the process: 511 / 75

Going ahead to step 4:
When dividing 511 by 75, we get 6 with a remainder of 61.
The next digit of our result is 6. 
Result so far: 86.0
The remainder is 61 after subtracting 450 from 511.
Include the next digit (4) from the dividend after 61, then repeat: 614 / 75

Advancing to step 5:
75 goes into 614 8 times with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 868.0
Subtract 600 from 614 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 6:
If we divide 140 by 75, we get 1 and a remainder of 65.
Put 1 as the next digit of the answer. 
Result so far: 868.1
If we take 75 away from 140, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 7:
The number 75 fits into 650 8 times, leaving a remainder of 50.
Write down 8 as next digit of the result. 
Result so far: 868.18
If we take 600 away from 650, 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.

Let's proceed to step 8:
When dividing 500 by 75, we get 6 with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 868.186
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The next digit of our result is 6. 
Result so far: 868.1866
Deduct 450 from 500 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.

In conclusion, the division gives 868.1866 with a balance of 0.0005.