We look at the division of 171335 by 27 
Our goal is to divide 171335 by 27.

On to step 1:
When dividing 1 by 27, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 27

Going ahead to step 2:
If we divide 17 by 27, we get 0 and a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 27

Advancing to step 3:
If we divide 171 by 27, we get 6 and a remainder of 9.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 9 after subtracting 162 from 171.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 27

Moving on to step 4:
27 goes into 93 3 times with a remainder of 12.
The next digit of our result is 3. 
Result so far: 63.0
Subtracting 81 from 93 leaves us with 12.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 27

Moving on to step 5:
If we divide 123 by 27, we get 4 and a remainder of 15.
The next digit of our result is 4. 
Result so far: 634.0
The remainder is 15 after subtracting 108 from 123.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 27

Advancing to step 6:
The number 27 fits into 155 5 times, leaving a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 6345.0
Subtract 135 from 155 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
27 can be fit into 200 7 times, resulting in a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 6345.7
Subtract 189 from 200 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
If we divide 110 by 27, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 6345.74
The remainder is 2 after subtracting 108 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
When dividing 20 by 27, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 6345.74
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
200 divided by 27 is 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 6345.7407
Subtract 189 from 200 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 11:
If we divide 110 by 27, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 6345.74074
If we take 108 away from 110, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
27 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 6345.74074
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
200 divided by 27 is 7 with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 6345.7407407
Subtracting 189 from 200 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 14:
The number 27 fits into 110 4 times, leaving a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 6345.74074074
Subtracting 108 from 110 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 6345.74074074 and a remainder of 2e-09.