We're dividing 908582 by 3 
We're looking to find how many times 3 goes into 908582.

Advancing to step 1:
When dividing 9 by 3, we get 3 with a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 9 away from 9, we end up with 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 3

Step 2:
When dividing 0 by 3, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 30.0
Subtracting 0 from 0 leaves us with 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 3

Advancing to step 3:
3 can be fit into 8 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 302.0
Subtract 6 from 8 to get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 3

Step 4:
If we divide 25 by 3, we get 8 and a remainder of 1.
The next digit of our result is 8. 
Result so far: 3028.0
Deduct 24 from 25 and we're left with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 3

Going ahead to step 5:
3 goes into 18 6 times with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 30286.0
The remainder is 0 after subtracting 18 from 18.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 3

On to step 6:
When dividing 2 by 3, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 302860.0
If we take 0 away from 2, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 302860.6
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 302860.66
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 302860.66, and the remainder is 0.002.