We're dividing 374331 by 27 
We want to figure out the number of times 374331 can be divided by 27.

On to step 1:
If we divide 3 by 27, we get 0 and 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.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 27

On to step 2:
27 can be fit into 37 1 times, resulting in a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 27 from 37 and we're left with 10.
Grab the next digit (4) from the dividend, add it to 10, then carry on: 104 / 27

Let's proceed to step 3:
27 can be fit into 104 3 times, resulting in a remainder of 23.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 81 from 104 and we're left with 23.
Bring next digit (3) of the dividend behind the 23 and repeat the process: 233 / 27

Going ahead to step 4:
27 goes into 233 8 times with a remainder of 17.
Use 8 as the next digit of our solution. 
Result so far: 138.0
Subtracting 216 from 233 leaves us with 17.
Fetch the next digit (3) from the dividend, attach it to 17 and continue: 173 / 27

Step 5:
27 can be fit into 173 6 times, resulting in a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 1386.0
If we subtract 162 from 173, we get 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 27

Step 6:
When dividing 111 by 27, we get 4 with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 13864.0
Deduct 108 from 111 and we're left 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.

Moving on to step 7:
When dividing 30 by 27, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 13864.1
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.

Step 8:
30 divided by 27 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 13864.11
Subtract 27 from 30 to get 3.
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 13864.11 with a remaining 0.003.