We're dividing 345341 by 9 
We're looking to find how many times 9 goes into 345341.

Advancing to step 1:
9 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 9

Step 2:
9 goes into 34 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 3.0
If we take 27 away from 34, we end up with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 9

Let's proceed to step 3:
75 divided by 9 is 8 with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 38.0
Subtract 72 from 75 to get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 9

Going ahead to step 4:
When dividing 33 by 9, we get 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 383.0
Subtract 27 from 33 to get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 9

Advancing to step 5:
When dividing 64 by 9, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 3837.0
Deduct 63 from 64 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 9

Going ahead to step 6:
The number 9 fits into 11 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 38371.0
If we take 9 away from 11, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
If we divide 20 by 9, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 38371.2
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
20 divided by 9 is 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 38371.22
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 38371.22 with a balance of 0.002.