We're dividing 171564 by 3 
We want to figure out the number of times 171564 can be divided by 3.

On to step 1:
1 divided by 3 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 3

Step 2:
17 divided by 3 is 5 with a remainder of 2.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 15 from 17 and we're left with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 3

Going ahead to step 3:
3 goes into 21 7 times with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 57.0
Deduct 21 from 21 and we're left with 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Advancing to step 4:
The number 3 fits into 5 1 times, leaving a remainder of 2.
The next digit of our result is 1. 
Result so far: 571.0
If we take 3 away from 5, we end up with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 3

Going ahead to step 5:
3 goes into 26 8 times with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 5718.0
If we subtract 24 from 26, we get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 3

Going ahead to step 6:
If we divide 24 by 3, we get 8 and a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 57188.0
The remainder is 0 after subtracting 24 from 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
3 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 57188.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
The number 3 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 57188.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 57188.0 and a remainder of 0.0.