We look at the division of 578694 by 9 
Our goal is to divide 578694 by 9.

Going ahead to step 1:
5 divided by 9 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 9

Step 2:
57 divided by 9 is 6 with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 54 away from 57, we end up with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 9

Advancing to step 3:
38 divided by 9 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 64.0
Subtracting 36 from 38 leaves us with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 9

Advancing to step 4:
9 can be fit into 26 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 642.0
If we take 18 away from 26, we end up with 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 9

Moving on to step 5:
89 divided by 9 is 9 with a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 6429.0
If we subtract 81 from 89, we get 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 9

On to step 6:
9 goes into 84 9 times with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 64299.0
Subtract 81 from 84 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.

On to step 7:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 64299.3
Subtracting 27 from 30 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
When dividing 30 by 9, we get 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 64299.33
Subtracting 27 from 30 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 64299.33, and the remainder is 0.003.