We look at the division of 335646 by 27 
We're looking to find how many times 27 goes into 335646.

Advancing 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
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 27

Going ahead to step 2:
If we divide 33 by 27, we get 1 and a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 6 after subtracting 27 from 33.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 27

Step 3:
65 divided by 27 is 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 54 from 65 to get 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 27

Advancing to step 4:
If we divide 116 by 27, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 124.0
If we take 108 away from 116, we end up with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 27

Let's proceed to step 5:
27 can be fit into 84 3 times, resulting in a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 1243.0
The remainder is 3 after subtracting 81 from 84.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 27

Moving on to step 6:
The number 27 fits into 36 1 times, leaving a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 12431.0
If we take 27 away from 36, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
If we divide 90 by 27, we get 3 and a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 12431.3
If we subtract 81 from 90, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
When dividing 90 by 27, we get 3 with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 12431.33
Deduct 81 from 90 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 12431.33, and the remainder is 0.009.