81809 ÷ 45 
Our goal is to divide 81809 by 45.

On to step 1:
The number 45 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 45

On to step 2:
45 goes into 81 1 times with a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 45 from 81, we get 36.
Grab the next digit (8) from the dividend, add it to 36, then carry on: 368 / 45

Moving on to step 3:
When dividing 368 by 45, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
Subtract 360 from 368 to get 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 45

Let's proceed to step 4:
80 divided by 45 is 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 181.0
Subtracting 45 from 80 leaves us with 35.
Grab the next digit (9) from the dividend, add it to 35, then carry on: 359 / 45

Moving on to step 5:
The number 45 fits into 359 7 times, leaving a remainder of 44.
The next digit of our result is 7. 
Result so far: 1817.0
If we take 315 away from 359, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 6:
45 goes into 440 9 times with a remainder of 35.
Record the quotient 9 as the next digit in the result. 
Result so far: 1817.9
Subtract 405 from 440 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 7:
45 can be fit into 350 7 times, resulting in a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 1817.97
Subtracting 315 from 350 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 8:
350 divided by 45 is 7 with a remainder of 35.
The next digit of our result is 7. 
Result so far: 1817.977
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 1817.977 and a remainder of 0.0035.