314814 divided by 45 
Our goal is to divide 314814 by 45.

Moving on to step 1:
If we divide 3 by 45, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 45

Going ahead to step 2:
If we divide 31 by 45, we get 0 and a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Bring next digit (4) of the dividend behind the 31 and repeat the process: 314 / 45

On to step 3:
When dividing 314 by 45, we get 6 with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 270 from 314 leaves us with 44.
Grab the next digit (8) from the dividend, add it to 44, then carry on: 448 / 45

Moving on to step 4:
The number 45 fits into 448 9 times, leaving a remainder of 43.
Write down 9 as next digit of the result. 
Result so far: 69.0
If we take 405 away from 448, we end up with 43.
Fetch the next digit (1) from the dividend, attach it to 43 and continue: 431 / 45

Going ahead to step 5:
431 divided by 45 is 9 with a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 699.0
Subtracting 405 from 431 leaves us with 26.
Include the next digit (4) from the dividend after 26, then repeat: 264 / 45

Let's proceed to step 6:
45 can be fit into 264 5 times, resulting in a remainder of 39.
The number 5 becomes the next digit in our result. 
Result so far: 6995.0
Subtract 225 from 264 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 7:
The number 45 fits into 390 8 times, leaving a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 6995.8
If we take 360 away from 390, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
If we divide 300 by 45, we get 6 and a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 6995.86
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
If we divide 300 by 45, we get 6 and a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 6995.866
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 6995.866, and the remainder is 0.003.