We look at the division of 333974 by 5 
We're looking to find how many times 5 goes into 333974.

On to step 1:
3 divided by 5 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 5

Moving on to step 2:
If we divide 33 by 5, we get 6 and a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 30 from 33 and we're left with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 5

Step 3:
The number 5 fits into 33 6 times, leaving a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 66.0
If we take 30 away from 33, we end up with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 5

Moving on to step 4:
5 goes into 39 7 times with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 667.0
Deduct 35 from 39 and we're left with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 5

Step 5:
5 goes into 47 9 times with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 6679.0
Deduct 45 from 47 and we're left with 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 5

Step 6:
5 can be fit into 24 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 66794.0
Subtracting 20 from 24 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
If we divide 40 by 5, we get 8 and a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 66794.8
Subtracting 40 from 40 leaves us 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.

Going ahead to step 8:
5 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 66794.8
If we subtract 0 from 0, we 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.

Step 9:
When dividing 0 by 5, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 66794.8
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 66794.8 and a remainder of 0.0.