We're dividing 624004 by 9 
We're looking to find how many times 9 goes into 624004.

Going ahead to step 1:
9 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 9

Let's proceed to step 2:
62 divided by 9 is 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 54 from 62 leaves us with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 9

Advancing to step 3:
9 can be fit into 84 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 69.0
Subtract 81 from 84 to get 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 9

Moving on to step 4:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 693.0
The remainder is 3 after subtracting 27 from 30.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 9

Let's proceed to step 5:
If we divide 30 by 9, we get 3 and a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 6933.0
The remainder is 3 after subtracting 27 from 30.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 9

On to step 6:
When dividing 34 by 9, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 69333.0
The remainder is 7 after subtracting 27 from 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
The number 9 fits into 70 7 times, leaving a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 69333.7
The remainder is 7 after subtracting 63 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
70 divided by 9 is 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 69333.77
Subtracting 63 from 70 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 69333.77, and the remainder is 0.007.