We divide 413241 by 65
Our goal is to divide 413241 by 65.

On to step 1:
65 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 65

Moving on to step 2:
The number 65 fits into 41 0 times, leaving a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 65

Step 3:
65 goes into 413 6 times with a remainder of 23.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 390 from 413, we get 23.
Take the next digit (2) from the dividend and append it to 23, then repeat: 232 / 65

Step 4:
If we divide 232 by 65, we get 3 and a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 63.0
The remainder is 37 after subtracting 195 from 232.
Grab the next digit (4) from the dividend, add it to 37, then carry on: 374 / 65

On to step 5:
65 can be fit into 374 5 times, resulting in a remainder of 49.
Record the quotient 5 as the next digit in the result. 
Result so far: 635.0
Deduct 325 from 374 and we're left with 49.
Include the next digit (1) from the dividend after 49, then repeat: 491 / 65

Moving on to step 6:
65 goes into 491 7 times with a remainder of 36.
Put 7 as the next digit of the answer. 
Result so far: 6357.0
The remainder is 36 after subtracting 455 from 491.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 7:
The number 65 fits into 360 5 times, leaving a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 6357.5
The remainder is 35 after subtracting 325 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
If we divide 350 by 65, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 6357.55
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 6357.55 with a balance of 0.025.