We're dividing 409331 by 65 
We want to figure out the number of times 409331 can be divided by 65.

On to step 1:
4 divided by 65 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 65

Let's proceed to step 2:
65 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 40 to get 40.
Take the next digit (9) from the dividend and append it to 40, then repeat: 409 / 65

Going ahead to step 3:
65 goes into 409 6 times with a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 390 from 409 leaves us with 19.
Take the next digit (3) from the dividend and append it to 19, then repeat: 193 / 65

Going ahead to step 4:
193 divided by 65 is 2 with a remainder of 63.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
The remainder is 63 after subtracting 130 from 193.
Include the next digit (3) from the dividend after 63, then repeat: 633 / 65

On to step 5:
633 divided by 65 is 9 with a remainder of 48.
Put 9 as the next digit of the answer. 
Result so far: 629.0
The remainder is 48 after subtracting 585 from 633.
Take the next digit (1) from the dividend and append it to 48, then repeat: 481 / 65

Moving on to step 6:
65 can be fit into 481 7 times, resulting in a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 6297.0
If we subtract 455 from 481, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 7:
The number 65 fits into 260 4 times, leaving a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 6297.4
Deduct 260 from 260 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
65 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6297.4
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
When dividing 0 by 65, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6297.4
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 6297.4, and the remainder is 0.0.