We look at the division of 34972 by 6 
We want to divide 34972 by 6.

Step 1:
When dividing 3 by 6, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 6

Moving on to step 2:
34 divided by 6 is 5 with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 30 from 34 to get 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 6

Step 3:
6 can be fit into 49 8 times, resulting in a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
Deduct 48 from 49 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 6

Going ahead to step 4:
When dividing 17 by 6, we get 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 582.0
Subtract 12 from 17 to get 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 6

On to step 5:
If we divide 52 by 6, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 5828.0
Subtract 48 from 52 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 6:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 5828.6
Subtracting 36 from 40 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.

On to step 7:
The number 6 fits into 40 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 5828.66
Deduct 36 from 40 and we're left 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.

The final result is 5828.66 with a remainder of 0.004.