We look at the division of 27633 by 44 
We want to figure out the number of times 27633 can be divided by 44.

On to step 1:
The number 44 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 44

On to step 2:
44 goes into 27 0 times with a remainder of 27.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Bring next digit (6) of the dividend behind the 27 and repeat the process: 276 / 44

Going ahead to step 3:
When dividing 276 by 44, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 264 from 276, we get 12.
Grab the next digit (3) from the dividend, add it to 12, then carry on: 123 / 44

Step 4:
When dividing 123 by 44, we get 2 with a remainder of 35.
The next digit of our result is 2. 
Result so far: 62.0
The remainder is 35 after subtracting 88 from 123.
Fetch the next digit (3) from the dividend, attach it to 35 and continue: 353 / 44

On to step 5:
When dividing 353 by 44, we get 8 with a remainder of 1.
The next digit of our result is 8. 
Result so far: 628.0
If we take 352 away from 353, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
10 divided by 44 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 628.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
100 divided by 44 is 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 628.02
If we subtract 88 from 100, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
If we divide 120 by 44, we get 2 and a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 628.022
If we take 88 away from 120, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 628.022 and a remainder of 0.0032.