We divide 554635 by 3
Our goal is to divide 554635 by 3.

Moving on to step 1:
3 can be fit into 5 1 times, resulting in a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 3 from 5 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 3

Going ahead to step 2:
3 goes into 25 8 times with a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
The remainder is 1 after subtracting 24 from 25.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 3

Advancing to step 3:
3 goes into 14 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 184.0
Subtract 12 from 14 to get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 3

Advancing to step 4:
If we divide 26 by 3, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 1848.0
Subtract 24 from 26 to get 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 3

Step 5:
The number 3 fits into 23 7 times, leaving a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 18487.0
If we subtract 21 from 23, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 3

Moving on to step 6:
3 can be fit into 25 8 times, resulting in a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 184878.0
Deduct 24 from 25 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.

On to step 7:
3 goes into 10 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 184878.3
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.

Let's proceed to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 184878.33
If we take 9 away from 10, we end up 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 184878.33 with a remainder of 0.001.