We're dividing 30966 by 5 
Let's see how many times 5 fits into 30966.

Let's proceed to step 1:
5 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 5

Moving on to step 2:
30 divided by 5 is 6 with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 30 from 30 to get 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 5

Let's proceed to step 3:
9 divided by 5 is 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 61.0
If we take 5 away from 9, we end up with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 5

Going ahead to step 4:
46 divided by 5 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 619.0
Subtracting 45 from 46 leaves us with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 5

Step 5:
16 divided by 5 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 6193.0
Subtract 15 from 16 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
If we divide 10 by 5, we get 2 and a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 6193.2
Subtract 10 from 10 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
If we divide 0 by 5, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6193.2
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
0 divided by 5 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6193.2
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 6193.2, and the remainder is 0.0.