We divide 203174 by 3
We're looking to find how many times 3 goes into 203174.

Moving on to step 1:
3 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Let's proceed to step 2:
3 goes into 20 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 18 from 20 leaves us with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 3

Let's proceed to step 3:
If we divide 23 by 3, we get 7 and a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
Deduct 21 from 23 and we're left with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 3

Going ahead to step 4:
21 divided by 3 is 7 with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 677.0
The remainder is 0 after subtracting 21 from 21.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 3

Moving on to step 5:
7 divided by 3 is 2 with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 6772.0
Subtracting 6 from 7 leaves us with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 3

Step 6:
3 can be fit into 14 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 67724.0
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.

Step 7:
20 divided by 3 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 67724.6
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.

Going ahead to step 8:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 67724.66
Deduct 18 from 20 and we're left 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 67724.66, and the remainder is 0.002.