335375 divided by 9 
We want to figure out the number of times 335375 can be divided by 9.

On 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
Deduct 0 from 3 and we're left with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 9

Step 2:
33 divided by 9 is 3 with a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 27 from 33 leaves us with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 9

Moving on to step 3:
9 goes into 65 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 37.0
If we subtract 63 from 65, we get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 9

On to step 4:
The number 9 fits into 23 2 times, leaving a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 372.0
Subtracting 18 from 23 leaves us with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 9

Advancing to step 5:
9 can be fit into 57 6 times, resulting in a remainder of 3.
The next digit of our result is 6. 
Result so far: 3726.0
The remainder is 3 after subtracting 54 from 57.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 9

Moving on to step 6:
When dividing 35 by 9, we get 3 with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 37263.0
Deduct 27 from 35 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.

Let's proceed to step 7:
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: 37263.8
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 8:
80 divided by 9 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 37263.88
Subtracting 72 from 80 leaves us 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 37263.88 with a remainder of 0.008.