288562 ÷ 3 
We're looking to find how many times 3 goes into 288562.

Advancing to step 1:
3 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 3

Step 2:
The number 3 fits into 28 9 times, leaving a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 27 from 28, we get 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 3

Step 3:
18 divided by 3 is 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 96.0
If we subtract 18 from 18, we get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Moving on to step 4:
When dividing 5 by 3, we get 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 961.0
If we subtract 3 from 5, we get 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 3

Advancing to step 5:
When dividing 26 by 3, we get 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 9618.0
Deduct 24 from 26 and we're left with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 3

Let's proceed to step 6:
If we divide 22 by 3, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 96187.0
Deduct 21 from 22 and we're left with 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:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 96187.3
If we subtract 9 from 10, 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 8:
10 divided by 3 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 96187.33
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 96187.33 with a remainder of 0.001.