We're dividing 356837 by 3 
We're looking to find how many times 3 goes into 356837.

Moving on to step 1:
3 can be fit into 3 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 3 from 3, we get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Let's proceed to step 2:
5 divided by 3 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 3 from 5 leaves us with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Let's proceed to step 3:
26 divided by 3 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 118.0
Deduct 24 from 26 and we're left with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 3

Advancing to step 4:
28 divided by 3 is 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 1189.0
Subtract 27 from 28 to get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 3

Let's proceed to step 5:
3 goes into 13 4 times with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 11894.0
Deduct 12 from 13 and we're left with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 3

On to step 6:
17 divided by 3 is 5 with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 118945.0
The remainder is 2 after subtracting 15 from 17.
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:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 118945.6
The remainder is 2 after subtracting 18 from 20.
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:
20 divided by 3 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 118945.66
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 118945.66 with a remaining 0.002.