We're dividing 31676 by 6 
We want to figure out the number of times 31676 can be divided by 6.

Advancing to step 1:
When dividing 3 by 6, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 6

Going ahead to step 2:
6 can be fit into 31 5 times, resulting in a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 30 from 31 leaves us with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 6

On to step 3:
6 can be fit into 16 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 52.0
Deduct 12 from 16 and we're left with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 6

Moving on to step 4:
If we divide 47 by 6, we get 7 and a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 527.0
Subtract 42 from 47 to get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 6

Moving on to step 5:
6 goes into 56 9 times with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 5279.0
Deduct 54 from 56 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.

Moving on to step 6:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 5279.3
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.

Step 7:
If we divide 20 by 6, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 5279.33
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.

After the division, we end up with 5279.33 and a remainder of 0.002.