We divide 41109 by 45
Our goal is to divide 41109 by 45.

Going ahead to step 1:
45 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 45

Step 2:
When dividing 41 by 45, we get 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Fetch the next digit (1) from the dividend, attach it to 41 and continue: 411 / 45

Advancing to step 3:
When dividing 411 by 45, we get 9 with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 6 after subtracting 405 from 411.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 45

Moving on to step 4:
45 can be fit into 60 1 times, resulting in a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 91.0
Subtract 45 from 60 to get 15.
Include the next digit (9) from the dividend after 15, then repeat: 159 / 45

On to step 5:
When dividing 159 by 45, we get 3 with a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 913.0
If we take 135 away from 159, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 6:
45 can be fit into 240 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 913.5
Subtract 225 from 240 to get 15.
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 7:
45 goes into 150 3 times with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 913.53
If we take 135 away from 150, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
45 goes into 150 3 times with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 913.533
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 913.533, and the remainder is 0.0015.