346364 ÷ 9 
We want to figure out the number of times 346364 can be divided by 9.

Let's proceed to step 1:
9 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 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
Subtract 27 from 34 to get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 9

Let's proceed to step 3:
9 goes into 76 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 38.0
Deduct 72 from 76 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 9

Let's proceed to step 4:
If we divide 43 by 9, we get 4 and a remainder of 7.
The next digit of our result is 4. 
Result so far: 384.0
The remainder is 7 after subtracting 36 from 43.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 9

On to step 5:
9 goes into 76 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 3848.0
If we take 72 away from 76, we end up with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 9

Advancing to step 6:
9 can be fit into 44 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 38484.0
Subtract 36 from 44 to 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.

Advancing 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: 38484.8
Subtract 72 from 80 to 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 8:
When dividing 80 by 9, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 38484.88
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.

The quotient of the division is 38484.88, and the remainder is 0.008.