Let's divide 10970 by 30
Our goal is to divide 10970 by 30.

On to step 1:
30 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 30

Going ahead to step 2:
If we divide 10 by 30, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 30

On to step 3:
The number 30 fits into 109 3 times, leaving a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 90 from 109, we get 19.
Include the next digit (7) from the dividend after 19, then repeat: 197 / 30

On to step 4:
30 goes into 197 6 times with a remainder of 17.
The next digit of our result is 6. 
Result so far: 36.0
Subtract 180 from 197 to get 17.
Include the next digit (0) from the dividend after 17, then repeat: 170 / 30

Step 5:
If we divide 170 by 30, we get 5 and a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 365.0
If we subtract 150 from 170, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 6:
30 goes into 200 6 times with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 365.6
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
If we divide 200 by 30, we get 6 and a remainder of 20.
The next digit of our result is 6. 
Result so far: 365.66
If we subtract 180 from 200, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 365.66, and the remainder is 0.02.