We look at the division of 341917 by 9 
We're looking to find how many times 9 goes into 341917.

On to step 1:
If we divide 3 by 9, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 9

Moving on to step 2:
9 goes into 34 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 27 from 34 leaves us with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 9

Going ahead to step 3:
9 goes into 71 7 times with a remainder of 8.
The next digit of our result is 7. 
Result so far: 37.0
Subtract 63 from 71 to get 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 9

Advancing to step 4:
9 can be fit into 89 9 times, resulting in a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 379.0
Deduct 81 from 89 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 9

Advancing to step 5:
9 goes into 81 9 times with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 3799.0
If we take 81 away from 81, we end up with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 9

Moving on to step 6:
9 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 37990.0
Subtracting 0 from 7 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
70 divided by 9 is 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 37990.7
Subtract 63 from 70 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 8:
When dividing 70 by 9, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 37990.77
Deduct 63 from 70 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 37990.77 with a balance of 0.007.