Let's divide 578341 by 9
We want to figure out the number of times 578341 can be divided by 9.

Advancing to step 1:
When dividing 5 by 9, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 9

On to step 2:
57 divided by 9 is 6 with a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 3 after subtracting 54 from 57.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 9

Going ahead to step 3:
9 goes into 38 4 times with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
Subtracting 36 from 38 leaves us with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 9

Advancing to step 4:
9 goes into 23 2 times with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 642.0
If we take 18 away from 23, we end up with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 9

Step 5:
If we divide 54 by 9, we get 6 and a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 6426.0
The remainder is 0 after subtracting 54 from 54.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 9

Going ahead to step 6:
9 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 64260.0
Subtracting 0 from 1 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
When dividing 10 by 9, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 64260.1
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
The number 9 fits into 10 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 64260.11
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 64260.11 with a remainder of 0.001.