341337 ÷ 27 
We want to figure out the number of times 341337 can be divided by 27.

Going ahead to step 1:
The number 27 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 27

Advancing to step 2:
When dividing 34 by 27, we get 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 27 from 34, we get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 27

Moving on to step 3:
27 can be fit into 71 2 times, resulting in a remainder of 17.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 54 from 71 and we're left with 17.
Grab the next digit (3) from the dividend, add it to 17, then carry on: 173 / 27

Let's proceed to step 4:
When dividing 173 by 27, we get 6 with a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 126.0
If we take 162 away from 173, we end up with 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 27

On to step 5:
If we divide 113 by 27, we get 4 and a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 1264.0
If we subtract 108 from 113, we get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 27

On to step 6:
The number 27 fits into 57 2 times, leaving a remainder of 3.
The next digit of our result is 2. 
Result so far: 12642.0
Subtract 54 from 57 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.

Step 7:
27 goes into 30 1 times with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 12642.1
If we subtract 27 from 30, we 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.

Advancing to step 8:
27 goes into 30 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 12642.11
If we subtract 27 from 30, we 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.

The final result is 12642.11 with a remainder of 0.003.