We divide 35415 by 27
We want to figure out the number of times 35415 can be divided by 27.

Going ahead to step 1:
27 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 27

Going ahead to step 2:
27 goes into 35 1 times with a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 27 from 35 leaves us with 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 27

Let's proceed to step 3:
If we divide 84 by 27, we get 3 and a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtracting 81 from 84 leaves us with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 27

Let's proceed to step 4:
The number 27 fits into 31 1 times, leaving a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 131.0
The remainder is 4 after subtracting 27 from 31.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 27

Moving on to step 5:
45 divided by 27 is 1 with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 1311.0
If we subtract 27 from 45, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 6:
27 goes into 180 6 times with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 1311.6
If we take 162 away from 180, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 7:
27 goes into 180 6 times with a remainder of 18.
The next digit of our result is 6. 
Result so far: 1311.66
Subtracting 162 from 180 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Our division results in 1311.66 with a remaining 0.018.