We look at the division of 14142 by 27 
We want to figure out the number of times 14142 can be divided by 27.

Moving on to step 1:
1 divided by 27 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 27

Step 2:
The number 27 fits into 14 0 times, leaving a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 14 after subtracting 0 from 14.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 27

Advancing to step 3:
27 goes into 141 5 times with a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 135 from 141 to get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 27

Moving on to step 4:
27 goes into 64 2 times with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
Deduct 54 from 64 and we're left with 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 27

Going ahead to step 5:
102 divided by 27 is 3 with a remainder of 21.
The next digit of our result is 3. 
Result so far: 523.0
If we subtract 81 from 102, 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.

Moving on to step 6:
If we divide 210 by 27, we get 7 and a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 523.7
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:
210 divided by 27 is 7 with a remainder of 21.
The next digit of our result is 7. 
Result so far: 523.77
Subtract 189 from 210 to 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.

After the division, we end up with 523.77 and a remainder of 0.021.