We're dividing 511670 by 3 
Our goal is to divide 511670 by 3.

Going ahead to step 1:
If we divide 5 by 3, we get 1 and a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 3 from 5, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 3

Moving on to step 2:
3 can be fit into 21 7 times, resulting in a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Deduct 21 from 21 and we're left with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 3

On to step 3:
3 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 170.0
If we take 0 away from 1, we end up with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

Going ahead to step 4:
If we divide 16 by 3, we get 5 and a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 1705.0
Subtract 15 from 16 to get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 3

Step 5:
When dividing 17 by 3, we get 5 with a remainder of 2.
The next digit of our result is 5. 
Result so far: 17055.0
Deduct 15 from 17 and we're left with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 3

Moving on to step 6:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 170556.0
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.

Let's proceed to step 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 170556.6
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.

On to step 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 170556.66
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 170556.66, and the remainder is 0.002.