We divide 956558 by 3
We want to figure out the number of times 956558 can be divided by 3.

Going ahead to step 1:
If we divide 9 by 3, we get 3 and a remainder of 0.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 0 after subtracting 9 from 9.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 3

On to step 2:
5 divided by 3 is 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
If we subtract 3 from 5, we get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Advancing to step 3:
3 can be fit into 26 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 318.0
If we subtract 24 from 26, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 3

Going ahead to step 4:
The number 3 fits into 25 8 times, leaving a remainder of 1.
The next digit of our result is 8. 
Result so far: 3188.0
The remainder is 1 after subtracting 24 from 25.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 3

On to step 5:
When dividing 15 by 3, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 31885.0
If we take 15 away from 15, we end up with 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 3

On to step 6:
If we divide 8 by 3, we get 2 and a remainder of 2.
The next digit of our result is 2. 
Result so far: 318852.0
If we take 6 away from 8, 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.

Let's proceed to step 7:
20 divided by 3 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 318852.6
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 318852.66
If we subtract 18 from 20, we get 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 final outcome is 318852.66, with a leftover of 0.002.