We're dividing 309256 by 45 
We want to divide 309256 by 45.

Going ahead to step 1:
3 divided by 45 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 45

Let's proceed to step 2:
45 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Include the next digit (9) from the dividend after 30, then repeat: 309 / 45

Moving on to step 3:
If we divide 309 by 45, we get 6 and a remainder of 39.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 39 after subtracting 270 from 309.
Take the next digit (2) from the dividend and append it to 39, then repeat: 392 / 45

Let's proceed to step 4:
392 divided by 45 is 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 68.0
Deduct 360 from 392 and we're left with 32.
Append the next digit (5) from the dividend to 32 and continue with: 325 / 45

On to step 5:
325 divided by 45 is 7 with a remainder of 10.
The next digit of our result is 7. 
Result so far: 687.0
If we subtract 315 from 325, we get 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 45

On to step 6:
When dividing 106 by 45, we get 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 6872.0
Subtracting 90 from 106 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
When dividing 160 by 45, we get 3 with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 6872.3
If we subtract 135 from 160, 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.

Moving on to step 8:
45 can be fit into 250 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 6872.35
Subtract 225 from 250 to 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.

On to step 9:
When dividing 250 by 45, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 6872.355
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 quotient of the division is 6872.355, and the remainder is 0.0025.