Let's divide 110941 by 45
Our goal is to divide 110941 by 45.

On to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 45

Step 2:
If we divide 11 by 45, we get 0 and a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 45

Step 3:
45 can be fit into 110 2 times, resulting in a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 20 after subtracting 90 from 110.
Include the next digit (9) from the dividend after 20, then repeat: 209 / 45

Advancing to step 4:
The number 45 fits into 209 4 times, leaving a remainder of 29.
The number 4 becomes the next digit in our result. 
Result so far: 24.0
Subtracting 180 from 209 leaves us with 29.
Fetch the next digit (4) from the dividend, attach it to 29 and continue: 294 / 45

Let's proceed to step 5:
The number 45 fits into 294 6 times, leaving a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 246.0
If we take 270 away from 294, we end up with 24.
Fetch the next digit (1) from the dividend, attach it to 24 and continue: 241 / 45

Moving on to step 6:
241 divided by 45 is 5 with a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 2465.0
The remainder is 16 after subtracting 225 from 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
45 can be fit into 160 3 times, resulting in a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 2465.3
If we subtract 135 from 160, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
When dividing 250 by 45, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 2465.35
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
250 divided by 45 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 2465.355
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 2465.355 with a remainder of 0.0025.