Let's divide 314943 by 45
Let's see how many times 45 fits into 314943.

Going ahead to step 1:
If we divide 3 by 45, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 45

Step 2:
When dividing 31 by 45, we get 0 with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Append the next digit (4) from the dividend to 31 and continue with: 314 / 45

Step 3:
45 can be fit into 314 6 times, resulting in a remainder of 44.
The next digit of our result is 6. 
Result so far: 6.0
If we take 270 away from 314, we end up with 44.
Include the next digit (9) from the dividend after 44, then repeat: 449 / 45

On to step 4:
449 divided by 45 is 9 with a remainder of 44.
The next digit of our result is 9. 
Result so far: 69.0
Subtract 405 from 449 to get 44.
Include the next digit (4) from the dividend after 44, then repeat: 444 / 45

Advancing to step 5:
If we divide 444 by 45, we get 9 and a remainder of 39.
Use 9 as the next digit of our solution. 
Result so far: 699.0
Deduct 405 from 444 and we're left with 39.
Append the next digit (3) from the dividend to 39 and continue with: 393 / 45

Moving on to step 6:
If we divide 393 by 45, we get 8 and a remainder of 33.
Put 8 as the next digit of the answer. 
Result so far: 6998.0
Subtract 360 from 393 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
The number 45 fits into 330 7 times, leaving a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 6998.7
The remainder is 15 after subtracting 315 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
45 goes into 150 3 times with a remainder of 15.
The next digit of our result is 3. 
Result so far: 6998.73
The remainder is 15 after subtracting 135 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
The number 45 fits into 150 3 times, leaving a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 6998.733
The remainder is 15 after subtracting 135 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 6998.733 with a remaining 0.0015.