385257 ÷ 9 
We want to figure out the number of times 385257 can be divided by 9.

Let's proceed to step 1:
9 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 9

Advancing to step 2:
9 goes into 38 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 36 from 38 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 9

Moving on to step 3:
The number 9 fits into 25 2 times, leaving a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Subtract 18 from 25 to get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 9

Let's proceed to step 4:
If we divide 72 by 9, we get 8 and a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 428.0
If we subtract 72 from 72, we get 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 9

Step 5:
9 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 4280.0
Subtract 0 from 5 to get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 9

Let's proceed to step 6:
The number 9 fits into 57 6 times, leaving a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 42806.0
Subtract 54 from 57 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
When dividing 30 by 9, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 42806.3
If we subtract 27 from 30, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 8:
30 divided by 9 is 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 42806.33
The remainder is 3 after subtracting 27 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 42806.33 with a balance of 0.003.