280344 ÷ 45 
Our goal is to divide 280344 by 45.

Step 1:
2 divided by 45 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 45

Advancing to step 2:
45 goes into 28 0 times with a remainder of 28.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 28 to get 28.
Take the next digit (0) from the dividend and append it to 28, then repeat: 280 / 45

Let's proceed to step 3:
45 goes into 280 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 270 away from 280, we end up with 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 45

On to step 4:
103 divided by 45 is 2 with a remainder of 13.
The next digit of our result is 2. 
Result so far: 62.0
The remainder is 13 after subtracting 90 from 103.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 45

Moving on to step 5:
If we divide 134 by 45, we get 2 and a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 622.0
If we take 90 away from 134, we end up with 44.
Bring next digit (4) of the dividend behind the 44 and repeat the process: 444 / 45

Advancing to step 6:
If we divide 444 by 45, we get 9 and a remainder of 39.
Record the quotient 9 as the next digit in the result. 
Result so far: 6229.0
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:
If we divide 390 by 45, we get 8 and a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 6229.8
Subtract 360 from 390 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
45 can be fit into 300 6 times, resulting in a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 6229.86
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:
45 goes into 300 6 times with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 6229.866
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 6229.866 and a remainder of 0.003.