We look at the division of 408412 by 65 
We want to figure out the number of times 408412 can be divided by 65.

Moving on to step 1:
If we divide 4 by 65, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 65

Step 2:
If we divide 40 by 65, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 40 to get 40.
Fetch the next digit (8) from the dividend, attach it to 40 and continue: 408 / 65

Let's proceed to step 3:
408 divided by 65 is 6 with a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 390 from 408 and we're left with 18.
Take the next digit (4) from the dividend and append it to 18, then repeat: 184 / 65

On to step 4:
The number 65 fits into 184 2 times, leaving a remainder of 54.
Write down 2 as next digit of the result. 
Result so far: 62.0
If we subtract 130 from 184, we get 54.
Fetch the next digit (1) from the dividend, attach it to 54 and continue: 541 / 65

Let's proceed to step 5:
541 divided by 65 is 8 with a remainder of 21.
The next digit of our result is 8. 
Result so far: 628.0
Subtract 520 from 541 to get 21.
Take the next digit (2) from the dividend and append it to 21, then repeat: 212 / 65

Advancing to step 6:
65 can be fit into 212 3 times, resulting in a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 6283.0
Subtract 195 from 212 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
170 divided by 65 is 2 with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 6283.2
If we take 130 away from 170, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
65 goes into 400 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 6283.26
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
100 divided by 65 is 1 with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 6283.261
Subtracting 65 from 100 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 10:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6283.2615
If we take 325 away from 350, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 11:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 6283.26153
Subtracting 195 from 250 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 12:
If we divide 550 by 65, we get 8 and a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 6283.261538
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
65 can be fit into 300 4 times, resulting in a remainder of 40.
The next digit of our result is 4. 
Result so far: 6283.2615384
Subtracting 260 from 300 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 14:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 6283.26153846
Subtracting 390 from 400 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 6283.26153846 with a balance of 1e-08.