We divide 409259 by 65
We want to figure out the number of times 409259 can be divided by 65.

On to step 1:
The number 65 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 65

Step 2:
The number 65 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 65

On to step 3:
When dividing 409 by 65, we get 6 with a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 390 from 409 and we're left with 19.
Fetch the next digit (2) from the dividend, attach it to 19 and continue: 192 / 65

On to step 4:
192 divided by 65 is 2 with a remainder of 62.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
Subtracting 130 from 192 leaves us with 62.
Append the next digit (5) from the dividend to 62 and continue with: 625 / 65

Advancing to step 5:
If we divide 625 by 65, we get 9 and a remainder of 40.
The next digit of our result is 9. 
Result so far: 629.0
If we take 585 away from 625, we end up with 40.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 65

On to step 6:
65 goes into 409 6 times with a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 6296.0
If we take 390 away from 409, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
65 goes into 190 2 times with a remainder of 60.
Put 2 as the next digit of the answer. 
Result so far: 6296.2
The remainder is 60 after subtracting 130 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 8:
65 can be fit into 600 9 times, resulting in a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 6296.29
If we subtract 585 from 600, we get 15.
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 9:
When dividing 150 by 65, we get 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 6296.292
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.

Advancing to step 10:
65 can be fit into 200 3 times, resulting in a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 6296.2923
Subtracting 195 from 200 leaves us 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 11:
50 divided by 65 is 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 6296.2923
If we subtract 0 from 50, we get 50.
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 12:
65 can be fit into 500 7 times, resulting in a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 6296.292307
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.

Moving on to step 13:
65 goes into 450 6 times with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 6296.2923076
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 14:
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: 6296.29230769
Subtracting 585 from 600 leaves us 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.

The final result is 6296.29230769 with a remainder of 1.5e-08.