6942 ÷ 27 
We want to figure out the number of times 6942 can be divided by 27.

Let's proceed to step 1:
If we divide 6 by 27, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 27

Moving on to step 2:
69 divided by 27 is 2 with a remainder of 15.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 54 away from 69, we end up with 15.
Grab the next digit (4) from the dividend, add it to 15, then carry on: 154 / 27

On to step 3:
154 divided by 27 is 5 with a remainder of 19.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
The remainder is 19 after subtracting 135 from 154.
Append the next digit (2) from the dividend to 19 and continue with: 192 / 27

Step 4:
27 goes into 192 7 times with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 257.0
The remainder is 3 after subtracting 189 from 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 5:
27 goes into 30 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 257.1
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.

Moving on to step 6:
If we divide 30 by 27, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 257.11
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 quotient of the division is 257.11, and the remainder is 0.003.