We're dividing 624208 by 9 
We want to divide 624208 by 9.

Let's proceed to step 1:
If we divide 6 by 9, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 9

Let's proceed to step 2:
9 can be fit into 62 6 times, resulting in a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 54 from 62 and we're left with 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 9

Moving on to step 3:
9 goes into 84 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 69.0
If we subtract 81 from 84, we get 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 9

Moving on to step 4:
When dividing 32 by 9, we get 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 693.0
Subtract 27 from 32 to get 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 9

Advancing to step 5:
If we divide 50 by 9, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 6935.0
Subtract 45 from 50 to get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 9

On to step 6:
When dividing 58 by 9, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 69356.0
Subtracting 54 from 58 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
When dividing 40 by 9, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 69356.4
Subtract 36 from 40 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
If we divide 40 by 9, we get 4 and a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 69356.44
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 69356.44, with a leftover of 0.004.