We're dividing 341772 by 27 
We're looking to find how many times 27 goes into 341772.

Step 1:
When dividing 3 by 27, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 27

Advancing to step 2:
If we divide 34 by 27, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 7 after subtracting 27 from 34.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 27

Step 3:
71 divided by 27 is 2 with a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 54 away from 71, we end up with 17.
Append the next digit (7) from the dividend to 17 and continue with: 177 / 27

Going ahead to step 4:
When dividing 177 by 27, we get 6 with a remainder of 15.
The number 6 becomes the next digit in our result. 
Result so far: 126.0
The remainder is 15 after subtracting 162 from 177.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 27

Moving on to step 5:
The number 27 fits into 157 5 times, leaving a remainder of 22.
Put 5 as the next digit of the answer. 
Result so far: 1265.0
If we take 135 away from 157, we end up with 22.
Append the next digit (2) from the dividend to 22 and continue with: 222 / 27

On to step 6:
27 goes into 222 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 12658.0
Subtracting 216 from 222 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
27 can be fit into 60 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 12658.2
If we take 54 away from 60, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
27 can be fit into 60 2 times, resulting in a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 12658.22
Subtract 54 from 60 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 12658.22 with a remainder of 0.006.