We're dividing 344456 by 9 
Let's see how many times 9 fits into 344456.

Going ahead to step 1:
When dividing 3 by 9, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 9

Moving on to step 2:
If we divide 34 by 9, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 27 from 34 and we're left with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 9

Let's proceed to step 3:
9 can be fit into 74 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 38.0
Subtract 72 from 74 to get 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 9

Step 4:
9 goes into 24 2 times with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 382.0
Subtract 18 from 24 to get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 9

On to step 5:
9 can be fit into 65 7 times, resulting in a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 3827.0
Deduct 63 from 65 and we're left with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 9

Going ahead to step 6:
The number 9 fits into 26 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 38272.0
If we subtract 18 from 26, 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 7:
80 divided by 9 is 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 38272.8
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.

Let's proceed to step 8:
9 goes into 80 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 38272.88
Deduct 72 from 80 and we're left 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.

The final result is 38272.88 with a remainder of 0.008.