Let's divide 624958 by 9
Let's see how many times 9 fits into 624958.

On to step 1:
The number 9 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 9

Advancing to step 2:
When dividing 62 by 9, we get 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
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:
The number 9 fits into 84 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 69.0
Subtracting 81 from 84 leaves us with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 9

Moving on to step 4:
39 divided by 9 is 4 with a remainder of 3.
The next digit of our result is 4. 
Result so far: 694.0
The remainder is 3 after subtracting 36 from 39.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 9

Advancing to step 5:
9 can be fit into 35 3 times, resulting in a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 6943.0
Subtract 27 from 35 to get 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 9

Going ahead to step 6:
If we divide 88 by 9, we get 9 and a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 69439.0
If we take 81 away from 88, we end up 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.

Let's proceed to step 7:
9 goes into 70 7 times with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 69439.7
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:
9 can be fit into 70 7 times, resulting in a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 69439.77
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.

The final outcome is 69439.77, with a leftover of 0.007.