We look at the division of 564687 by 3 
We want to figure out the number of times 564687 can be divided by 3.

Let's proceed to step 1:
5 divided by 3 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 2 after subtracting 3 from 5.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 3

Advancing to step 2:
When dividing 26 by 3, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
The remainder is 2 after subtracting 24 from 26.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 3

Let's proceed to step 3:
When dividing 24 by 3, we get 8 with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 188.0
If we subtract 24 from 24, we get 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 3

Let's proceed to step 4:
The number 3 fits into 6 2 times, leaving a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 1882.0
Subtract 6 from 6 to get 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 3

Moving on to step 5:
If we divide 8 by 3, we get 2 and a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 18822.0
Deduct 6 from 8 and we're left with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 3

On to step 6:
3 goes into 27 9 times with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 188229.0
Deduct 27 from 27 and we're left with 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 7:
3 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 188229.0
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.

Let's proceed to step 8:
0 divided by 3 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 188229.0
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 188229.0 and a remainder of 0.0.