We're dividing 372642 by 27 
We're looking to find how many times 27 goes into 372642.

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

Advancing to step 2:
27 can be fit into 37 1 times, resulting in a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 27 from 37 to get 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 27

Advancing to step 3:
102 divided by 27 is 3 with a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 81 from 102 to get 21.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 27

Step 4:
27 goes into 216 8 times with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 138.0
Subtract 216 from 216 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 27

Let's proceed to step 5:
If we divide 4 by 27, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 1380.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 27

Going ahead to step 6:
42 divided by 27 is 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 13801.0
If we subtract 27 from 42, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
If we divide 150 by 27, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 13801.5
The remainder is 15 after subtracting 135 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
The number 27 fits into 150 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 13801.55
The remainder is 15 after subtracting 135 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final outcome is 13801.55, with a leftover of 0.015.