We're dividing 172686 by 27 
We want to divide 172686 by 27.

Step 1:
1 divided by 27 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 27

Step 2:
17 divided by 27 is 0 with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Take the next digit (2) from the dividend and append it to 17, then repeat: 172 / 27

Advancing to step 3:
172 divided by 27 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 162 from 172 and we're left with 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 27

Step 4:
27 goes into 106 3 times with a remainder of 25.
The next digit of our result is 3. 
Result so far: 63.0
If we subtract 81 from 106, we get 25.
Fetch the next digit (8) from the dividend, attach it to 25 and continue: 258 / 27

On to step 5:
If we divide 258 by 27, we get 9 and a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 639.0
Subtracting 243 from 258 leaves us with 15.
Append the next digit (6) from the dividend to 15 and continue with: 156 / 27

Advancing to step 6:
If we divide 156 by 27, we get 5 and a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 6395.0
If we take 135 away from 156, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
27 goes into 210 7 times with a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 6395.7
If we subtract 189 from 210, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 8:
27 can be fit into 210 7 times, resulting in a remainder of 21.
The next digit of our result is 7. 
Result so far: 6395.77
Subtracting 189 from 210 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final outcome is 6395.77, with a leftover of 0.021.