Let's divide 684327 by 65
We're looking to find how many times 65 goes into 684327.

Going ahead to step 1:
When dividing 6 by 65, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 65

Advancing to step 2:
The number 65 fits into 68 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 65 from 68, we get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 65

Advancing to step 3:
65 goes into 34 0 times with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 34 to get 34.
Include the next digit (3) from the dividend after 34, then repeat: 343 / 65

Step 4:
343 divided by 65 is 5 with a remainder of 18.
Use 5 as the next digit of our solution. 
Result so far: 105.0
Subtract 325 from 343 to get 18.
Take the next digit (2) from the dividend and append it to 18, then repeat: 182 / 65

Step 5:
When dividing 182 by 65, we get 2 with a remainder of 52.
The next digit of our result is 2. 
Result so far: 1052.0
Subtracting 130 from 182 leaves us with 52.
Bring next digit (7) of the dividend behind the 52 and repeat the process: 527 / 65

Step 6:
65 can be fit into 527 8 times, resulting in a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 10528.0
Subtracting 520 from 527 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
The number 65 fits into 70 1 times, leaving a remainder of 5.
The next digit of our result is 1. 
Result so far: 10528.1
If we take 65 away from 70, 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.

Moving on to step 8:
When dividing 50 by 65, we get 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 10528.1
If we take 0 away from 50, 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 9:
500 divided by 65 is 7 with a remainder of 45.
The next digit of our result is 7. 
Result so far: 10528.107
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.

Step 10:
450 divided by 65 is 6 with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 10528.1076
Deduct 390 from 450 and we're left with 60.
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 11:
When dividing 600 by 65, we get 9 with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 10528.10769
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.

Advancing to step 12:
150 divided by 65 is 2 with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 10528.107692
Subtract 130 from 150 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
65 goes into 200 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 10528.1076923
Subtract 195 from 200 to 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.

On to step 14:
When dividing 50 by 65, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 10528.1076923
If we take 0 away from 50, 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.

Our division results in 10528.1076923 with a remaining 5e-08.