Let's divide 34910 by 9
We're looking to find how many times 9 goes into 34910.

Advancing to step 1:
3 divided by 9 is 0 with a remainder of 3.
The next digit of our result is 0. 
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 / 9

Let's proceed to step 2:
When dividing 34 by 9, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 27 from 34, we get 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 9

Going ahead to step 3:
9 goes into 79 8 times with a remainder of 7.
The next digit of our result is 8. 
Result so far: 38.0
Subtract 72 from 79 to get 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 9

Moving on to step 4:
If we divide 71 by 9, we get 7 and a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 387.0
If we subtract 63 from 71, we get 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 9

Going ahead to step 5:
The number 9 fits into 80 8 times, leaving a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 3878.0
If we subtract 72 from 80, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 6:
When dividing 80 by 9, we get 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 3878.8
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
The number 9 fits into 80 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 3878.88
If we take 72 away from 80, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 3878.88 with a remaining 0.008.