We're dividing 281946 by 45 
Our goal is to divide 281946 by 45.

Advancing to step 1:
45 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 45

On to step 2:
28 divided by 45 is 0 with a remainder of 28.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 28 and we're left with 28.
Take the next digit (1) from the dividend and append it to 28, then repeat: 281 / 45

Let's proceed to step 3:
281 divided by 45 is 6 with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 270 from 281 leaves us with 11.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 45

Moving on to step 4:
119 divided by 45 is 2 with a remainder of 29.
Write down 2 as next digit of the result. 
Result so far: 62.0
If we subtract 90 from 119, we get 29.
Grab the next digit (4) from the dividend, add it to 29, then carry on: 294 / 45

Advancing to step 5:
294 divided by 45 is 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 626.0
Subtract 270 from 294 to get 24.
Fetch the next digit (6) from the dividend, attach it to 24 and continue: 246 / 45

Moving on to step 6:
If we divide 246 by 45, we get 5 and a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 6265.0
If we take 225 away from 246, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
45 goes into 210 4 times with a remainder of 30.
The next digit of our result is 4. 
Result so far: 6265.4
If we take 180 away from 210, 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:
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: 6265.46
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.

Let's proceed to step 9:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 6265.466
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.

In conclusion, the division gives 6265.466 with a balance of 0.003.