42666 ÷ 27 
We want to figure out the number of times 42666 can be divided by 27.

On to step 1:
27 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 27

Moving on to step 2:
The number 27 fits into 42 1 times, leaving a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 27 from 42 leaves us with 15.
Take the next digit (6) from the dividend and append it to 15, then repeat: 156 / 27

Advancing to step 3:
27 can be fit into 156 5 times, resulting in a remainder of 21.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we take 135 away from 156, we end up with 21.
Take the next digit (6) from the dividend and append it to 21, then repeat: 216 / 27

Advancing to step 4:
27 goes into 216 8 times with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 158.0
Subtract 216 from 216 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 27

On to step 5:
27 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 1580.0
The remainder is 6 after subtracting 0 from 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 6:
27 goes into 60 2 times with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 1580.2
Deduct 54 from 60 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
27 goes into 60 2 times with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 1580.22
Subtracting 54 from 60 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 1580.22, and the remainder is 0.006.