Let's divide 905689 by 3
We're looking to find how many times 3 goes into 905689.

Advancing to step 1:
9 divided by 3 is 3 with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 9 from 9 and we're left with 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 3

Going ahead to step 2:
3 can be fit into 0 0 times, resulting in 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.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Advancing to step 3:
3 goes into 5 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 301.0
If we take 3 away from 5, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 3

Moving on to step 4:
3 can be fit into 26 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 3018.0
The remainder is 2 after subtracting 24 from 26.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 3

Moving on to step 5:
3 can be fit into 28 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 30189.0
Subtract 27 from 28 to get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 3

On to step 6:
19 divided by 3 is 6 with a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 301896.0
If we subtract 18 from 19, 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.

Advancing to step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 301896.3
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.

Let's proceed to step 8:
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: 301896.33
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 301896.33 with a remainder of 0.001.