We look at the division of 514631 by 3 
Let's see how many times 3 fits into 514631.

Advancing to step 1:
3 goes into 5 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 2 after subtracting 3 from 5.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 3

Advancing to step 2:
21 divided by 3 is 7 with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we subtract 21 from 21, we get 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 3

Step 3:
3 can be fit into 4 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 171.0
Subtracting 3 from 4 leaves us with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 3

Advancing to step 4:
If we divide 16 by 3, we get 5 and a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 1715.0
The remainder is 1 after subtracting 15 from 16.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 3

Going ahead to step 5:
13 divided by 3 is 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 17154.0
If we subtract 12 from 13, we get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 3

Advancing to step 6:
3 can be fit into 11 3 times, resulting in a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 171543.0
Subtracting 9 from 11 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.

On to step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 171543.6
If we take 18 away from 20, 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.

On to step 8:
If we divide 20 by 3, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 171543.66
Subtract 18 from 20 to 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 quotient of the division is 171543.66, and the remainder is 0.002.