We're dividing 274944 by 45 
Our goal is to divide 274944 by 45.

On to step 1:
If we divide 2 by 45, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 45

Let's proceed to step 2:
27 divided by 45 is 0 with a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 27 leaves us with 27.
Take the next digit (4) from the dividend and append it to 27, then repeat: 274 / 45

Let's proceed to step 3:
If we divide 274 by 45, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 270 away from 274, we end up with 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 45

Moving on to step 4:
45 goes into 49 1 times with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Subtract 45 from 49 to get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 45

Step 5:
The number 45 fits into 44 0 times, leaving a remainder of 44.
The number 0 becomes the next digit in our result. 
Result so far: 610.0
Subtracting 0 from 44 leaves us with 44.
Fetch the next digit (4) from the dividend, attach it to 44 and continue: 444 / 45

Going ahead to step 6:
444 divided by 45 is 9 with a remainder of 39.
Put 9 as the next digit of the answer. 
Result so far: 6109.0
The remainder is 39 after subtracting 405 from 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 7:
45 goes into 390 8 times with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 6109.8
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.

On to step 8:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 6109.86
Deduct 270 from 300 and we're left 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.

Moving on to step 9:
300 divided by 45 is 6 with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 6109.866
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 6109.866, and the remainder is 0.003.