We're dividing 556634 by 3 
Our goal is to divide 556634 by 3.

Let's proceed to step 1:
When dividing 5 by 3, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 2 after subtracting 3 from 5.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 3

Going ahead to step 2:
3 goes into 25 8 times with a remainder of 1.
The next digit of our result is 8. 
Result so far: 18.0
The remainder is 1 after subtracting 24 from 25.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

Moving on to step 3:
16 divided by 3 is 5 with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 185.0
The remainder is 1 after subtracting 15 from 16.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Moving on to step 4:
When dividing 16 by 3, we get 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 1855.0
Subtracting 15 from 16 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 3

Let's proceed to step 5:
13 divided by 3 is 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 18554.0
Deduct 12 from 13 and we're left with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 3

Step 6:
The number 3 fits into 14 4 times, leaving a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 185544.0
Subtracting 12 from 14 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.

Going ahead to step 7:
3 goes into 20 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 185544.6
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.

Advancing to step 8:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 185544.66
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.

The quotient of the division is 185544.66, and the remainder is 0.002.