We look at the division of 423584 by 65 
We're looking to find how many times 65 goes into 423584.

Going ahead to step 1:
4 divided by 65 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 65

On to step 2:
65 can be fit into 42 0 times, resulting in a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Take the next digit (3) from the dividend and append it to 42, then repeat: 423 / 65

Moving on to step 3:
65 can be fit into 423 6 times, resulting in a remainder of 33.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 390 from 423 to get 33.
Bring next digit (5) of the dividend behind the 33 and repeat the process: 335 / 65

Step 4:
335 divided by 65 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
If we take 325 away from 335, we end up with 10.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 65

On to step 5:
The number 65 fits into 108 1 times, leaving a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 651.0
Subtracting 65 from 108 leaves us with 43.
Include the next digit (4) from the dividend after 43, then repeat: 434 / 65

On to step 6:
65 can be fit into 434 6 times, resulting in a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 6516.0
If we subtract 390 from 434, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 7:
When dividing 440 by 65, we get 6 with a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 6516.6
Subtracting 390 from 440 leaves us 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.

Step 8:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 6516.67
Subtracting 455 from 500 leaves us 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 9:
When dividing 450 by 65, we get 6 with a remainder of 60.
The next digit of our result is 6. 
Result so far: 6516.676
Subtract 390 from 450 to get 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 10:
600 divided by 65 is 9 with a remainder of 15.
The next digit of our result is 9. 
Result so far: 6516.6769
Deduct 585 from 600 and we're left 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.

Let's proceed to step 11:
The number 65 fits into 150 2 times, leaving a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 6516.67692
If we subtract 130 from 150, we 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.

On to step 12:
When dividing 200 by 65, we get 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 6516.676923
The remainder is 5 after subtracting 195 from 200.
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:
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: 6516.676923
Subtracting 0 from 50 leaves us 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.

Going ahead to step 14:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 6516.67692307
The remainder is 45 after subtracting 455 from 500.
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 outcome is 6516.67692307, with a leftover of 4.5e-08.