We're dividing 3627 by 45 
We want to figure out the number of times 3627 can be divided by 45.

Advancing to step 1:
The number 45 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 45

Advancing to step 2:
45 goes into 36 0 times with a remainder of 36.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 36 and we're left with 36.
Take the next digit (2) from the dividend and append it to 36, then repeat: 362 / 45

Step 3:
If we divide 362 by 45, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 360 from 362 to get 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 45

Advancing to step 4:
45 can be fit into 27 0 times, resulting in a remainder of 27.
The next digit of our result is 0. 
Result so far: 80.0
If we subtract 0 from 27, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 5:
45 goes into 270 6 times with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 80.6
If we take 270 away from 270, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 6:
45 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 80.6
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
If we divide 0 by 45, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 80.6
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 80.6 with a remainder of 0.0.