We're dividing 331565 by 4 
We want to divide 331565 by 4.

Advancing to step 1:
4 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 4

On to step 2:
4 goes into 33 8 times with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we subtract 32 from 33, we get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 4

Going ahead to step 3:
4 can be fit into 11 2 times, resulting in a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
Subtract 8 from 11 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 4

Moving on to step 4:
The number 4 fits into 35 8 times, leaving a remainder of 3.
The next digit of our result is 8. 
Result so far: 828.0
Subtract 32 from 35 to get 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 4

Let's proceed to step 5:
36 divided by 4 is 9 with a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 8289.0
Subtract 36 from 36 to get 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 4

On to step 6:
4 goes into 5 1 times with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 82891.0
Deduct 4 from 5 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
The number 4 fits into 10 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 82891.2
Subtracting 8 from 10 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
4 can be fit into 20 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 82891.25
The remainder is 0 after subtracting 20 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
If we divide 0 by 4, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 82891.25
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 10:
0 divided by 4 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 82891.25
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 final outcome is 82891.25, with a leftover of 0.0.