172749 ÷ 27 
Let's see how many times 27 fits into 172749.

Advancing to step 1:
27 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 27

Moving on to step 2:
If we divide 17 by 27, we get 0 and a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Include the next digit (2) from the dividend after 17, then repeat: 172 / 27

Going ahead to step 3:
27 goes into 172 6 times with a remainder of 10.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 162 from 172, we get 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 27

Advancing to step 4:
When dividing 107 by 27, we get 3 with a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 63.0
If we take 81 away from 107, we end up with 26.
Take the next digit (4) from the dividend and append it to 26, then repeat: 264 / 27

Let's proceed to step 5:
The number 27 fits into 264 9 times, leaving a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 639.0
If we subtract 243 from 264, we get 21.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 27

On to step 6:
The number 27 fits into 219 8 times, leaving a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 6398.0
The remainder is 3 after subtracting 216 from 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
30 divided by 27 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 6398.1
Subtracting 27 from 30 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
27 goes into 30 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 6398.11
The remainder is 3 after subtracting 27 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 6398.11 with a remaining 0.003.