We look at the division of 42438 by 27 
Our goal is to divide 42438 by 27.

Let's proceed to step 1:
The number 27 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 27

Step 2:
27 can be fit into 42 1 times, resulting in a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 27 away from 42, we end up with 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 27

Advancing to step 3:
154 divided by 27 is 5 with a remainder of 19.
Write down 5 as next digit of the result. 
Result so far: 15.0
The remainder is 19 after subtracting 135 from 154.
Take the next digit (3) from the dividend and append it to 19, then repeat: 193 / 27

Step 4:
193 divided by 27 is 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 157.0
Deduct 189 from 193 and we're left with 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 27

Advancing to step 5:
48 divided by 27 is 1 with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 1571.0
Subtracting 27 from 48 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.

On to step 6:
27 can be fit into 210 7 times, resulting in a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 1571.7
Deduct 189 from 210 and we're left 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.

Step 7:
27 can be fit into 210 7 times, resulting in a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 1571.77
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.

The final result is 1571.77 with a remainder of 0.021.