410332 ÷ 65 
Our goal is to divide 410332 by 65.

On to step 1:
4 divided by 65 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 65

On to step 2:
65 goes into 41 0 times with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (0) of the dividend behind the 41 and repeat the process: 410 / 65

Let's proceed to step 3:
65 goes into 410 6 times with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 390 from 410, we get 20.
Bring next digit (3) of the dividend behind the 20 and repeat the process: 203 / 65

Advancing to step 4:
203 divided by 65 is 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 63.0
Subtracting 195 from 203 leaves us with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 65

On to step 5:
65 goes into 83 1 times with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 631.0
If we take 65 away from 83, we end up with 18.
Take the next digit (2) from the dividend and append it to 18, then repeat: 182 / 65

Moving on to step 6:
65 goes into 182 2 times with a remainder of 52.
The number 2 becomes the next digit in our result. 
Result so far: 6312.0
Subtracting 130 from 182 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 7:
When dividing 520 by 65, we get 8 with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 6312.8
The remainder is 0 after subtracting 520 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
0 divided by 65 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 6312.8
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
65 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6312.8
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.

The quotient of the division is 6312.8, and the remainder is 0.0.