We look at the division of 312865 by 45 
We want to divide 312865 by 45.

Let's proceed to step 1:
45 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 45

Going ahead to step 2:
45 goes into 31 0 times with a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Include the next digit (2) from the dividend after 31, then repeat: 312 / 45

Let's proceed to step 3:
45 can be fit into 312 6 times, resulting in a remainder of 42.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 270 from 312 leaves us with 42.
Append the next digit (8) from the dividend to 42 and continue with: 428 / 45

On to step 4:
The number 45 fits into 428 9 times, leaving a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 69.0
If we subtract 405 from 428, we get 23.
Include the next digit (6) from the dividend after 23, then repeat: 236 / 45

Step 5:
236 divided by 45 is 5 with a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 695.0
Subtract 225 from 236 to get 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 45

Advancing to step 6:
115 divided by 45 is 2 with a remainder of 25.
Record the quotient 2 as the next digit in the result. 
Result so far: 6952.0
If we take 90 away from 115, 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.

Step 7:
250 divided by 45 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 6952.5
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
250 divided by 45 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6952.55
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 6952.55 with a remainder of 0.025.