We look at the division of 502325 by 65 
We want to divide 502325 by 65.

On to step 1:
The number 65 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 65

On to step 2:
When dividing 50 by 65, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Take the next digit (2) from the dividend and append it to 50, then repeat: 502 / 65

Step 3:
65 goes into 502 7 times with a remainder of 47.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtracting 455 from 502 leaves us with 47.
Include the next digit (3) from the dividend after 47, then repeat: 473 / 65

Going ahead to step 4:
65 goes into 473 7 times with a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
If we subtract 455 from 473, we get 18.
Include the next digit (2) from the dividend after 18, then repeat: 182 / 65

On to step 5:
When dividing 182 by 65, we get 2 with a remainder of 52.
Put 2 as the next digit of the answer. 
Result so far: 772.0
If we take 130 away from 182, we end up with 52.
Bring next digit (5) of the dividend behind the 52 and repeat the process: 525 / 65

Let's proceed to step 6:
If we divide 525 by 65, we get 8 and a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 7728.0
If we take 520 away from 525, 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.

Going ahead to step 7:
65 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 7728.0
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 8:
If we divide 500 by 65, we get 7 and a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 7728.07
If we subtract 455 from 500, we 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 9:
If we divide 450 by 65, we get 6 and a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 7728.076
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.

Moving on to step 10:
65 can be fit into 600 9 times, resulting in a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 7728.0769
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.

Going ahead to step 11:
150 divided by 65 is 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 7728.07692
Subtracting 130 from 150 leaves us 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.

Let's proceed to step 12:
200 divided by 65 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 7728.076923
If we subtract 195 from 200, we get 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 13:
If we divide 50 by 65, we get 0 and a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 7728.076923
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.

Let's proceed to step 14:
65 can be fit into 500 7 times, resulting in a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 7728.07692307
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.

The final result is 7728.07692307 with a remainder of 4.5e-08.