171040 ÷ 27 
Our goal is to divide 171040 by 27.

On to step 1:
27 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 27

Moving on to step 2:
If we divide 17 by 27, we get 0 and a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Append the next digit (1) from the dividend to 17 and continue with: 171 / 27

On to step 3:
The number 27 fits into 171 6 times, leaving a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 162 from 171 to get 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 27

Let's proceed to step 4:
27 can be fit into 90 3 times, resulting in a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
If we take 81 away from 90, we end up with 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 27

Going ahead to step 5:
If we divide 94 by 27, we get 3 and a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 633.0
If we subtract 81 from 94, we get 13.
Append the next digit (0) from the dividend to 13 and continue with: 130 / 27

Let's proceed to step 6:
27 can be fit into 130 4 times, resulting in a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 6334.0
The remainder is 22 after subtracting 108 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 7:
If we divide 220 by 27, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 6334.8
The remainder is 4 after subtracting 216 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
When dividing 40 by 27, we get 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 6334.81
Deduct 27 from 40 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 9:
27 goes into 130 4 times with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 6334.814
Subtract 108 from 130 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 10:
27 goes into 220 8 times with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 6334.8148
Subtract 216 from 220 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
27 can be fit into 40 1 times, resulting in a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 6334.81481
If we subtract 27 from 40, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 12:
27 can be fit into 130 4 times, resulting in a remainder of 22.
The next digit of our result is 4. 
Result so far: 6334.814814
Subtracting 108 from 130 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 13:
The number 27 fits into 220 8 times, leaving a remainder of 4.
The next digit of our result is 8. 
Result so far: 6334.8148148
Subtract 216 from 220 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
When dividing 40 by 27, we get 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 6334.81481481
Subtracting 27 from 40 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 6334.81481481 with a remaining 1.3e-08.