We look at the division of 409117 by 65 
We want to divide 409117 by 65.

Let's proceed to step 1:
If we divide 4 by 65, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 65

Going ahead to step 2:
65 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Fetch the next digit (9) from the dividend, attach it to 40 and continue: 409 / 65

Step 3:
409 divided by 65 is 6 with a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 390 from 409 and we're left with 19.
Append the next digit (1) from the dividend to 19 and continue with: 191 / 65

Going ahead to step 4:
65 goes into 191 2 times with a remainder of 61.
Put 2 as the next digit of the answer. 
Result so far: 62.0
Subtract 130 from 191 to get 61.
Include the next digit (1) from the dividend after 61, then repeat: 611 / 65

Going ahead to step 5:
When dividing 611 by 65, we get 9 with a remainder of 26.
The next digit of our result is 9. 
Result so far: 629.0
The remainder is 26 after subtracting 585 from 611.
Grab the next digit (7) from the dividend, add it to 26, then carry on: 267 / 65

Advancing to step 6:
267 divided by 65 is 4 with a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 6294.0
Deduct 260 from 267 and we're left 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.

Let's proceed to step 7:
When dividing 70 by 65, we get 1 with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 6294.1
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:
The number 65 fits into 50 0 times, leaving a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 6294.1
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.

Advancing to step 9:
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: 6294.107
Subtract 455 from 500 to 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 10:
When dividing 450 by 65, we get 6 with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 6294.1076
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.

Step 11:
If we divide 600 by 65, we get 9 and a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 6294.10769
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.

Step 12:
If we divide 150 by 65, we get 2 and a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 6294.107692
If we take 130 away from 150, we end up 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 13:
65 goes into 200 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 6294.1076923
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.

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: 6294.1076923
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.

The final result is 6294.1076923 with a remainder of 5e-08.