3671 divided by 3 
We're looking to find how many times 3 goes into 3671.

Let's proceed to step 1:
3 goes into 3 1 times with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 0 after subtracting 3 from 3.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 3

Let's proceed to step 2:
The number 3 fits into 6 2 times, leaving a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 0 after subtracting 6 from 6.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 3

Advancing to step 3:
The number 3 fits into 7 2 times, leaving a remainder of 1.
The next digit of our result is 2. 
Result so far: 122.0
The remainder is 1 after subtracting 6 from 7.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 3

Let's proceed to step 4:
The number 3 fits into 11 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 1223.0
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 5:
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: 1223.6
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 6:
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: 1223.66
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 1223.66 with a remainder of 0.002.