1813 divided by 45 
We're looking to find how many times 45 goes into 1813.

Going ahead to step 1:
45 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 45

On to step 2:
The number 45 fits into 18 0 times, leaving a remainder of 18.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 18 after subtracting 0 from 18.
Take the next digit (1) from the dividend and append it to 18, then repeat: 181 / 45

Step 3:
45 goes into 181 4 times with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 180 from 181 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 45

Moving on to step 4:
If we divide 13 by 45, we get 0 and a remainder of 13.
The next digit of our result is 0. 
Result so far: 40.0
If we subtract 0 from 13, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 5:
45 goes into 130 2 times with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 40.2
The remainder is 40 after subtracting 90 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 6:
If we divide 400 by 45, we get 8 and a remainder of 40.
The next digit of our result is 8. 
Result so far: 40.28
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 7:
When dividing 400 by 45, we get 8 with a remainder of 40.
The next digit of our result is 8. 
Result so far: 40.288
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 40.288 and a remainder of 0.004.