We look at the division of 171064 by 3 
We want to divide 171064 by 3.

Advancing to step 1:
1 divided by 3 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
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 / 3

Let's proceed to step 2:
When dividing 17 by 3, we get 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 15 away from 17, we end up with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 3

On to step 3:
If we divide 21 by 3, we get 7 and a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 57.0
If we take 21 away from 21, we end up with 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 3

Step 4:
The number 3 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 570.0
If we take 0 away from 0, we end up with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 3

On to step 5:
3 goes into 6 2 times with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 5702.0
The remainder is 0 after subtracting 6 from 6.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 3

Moving on to step 6:
3 can be fit into 4 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 57021.0
If we subtract 3 from 4, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
10 divided by 3 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 57021.3
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
3 goes into 10 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 57021.33
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 57021.33, and the remainder is 0.001.