We're dividing 624677 by 90 
Let's see how many times 90 fits into 624677.

Let's proceed to step 1:
If we divide 6 by 90, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 90

Advancing to step 2:
90 goes into 62 0 times with a remainder of 62.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 62 to get 62.
Include the next digit (4) from the dividend after 62, then repeat: 624 / 90

Step 3:
90 can be fit into 624 6 times, resulting in a remainder of 84.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 540 away from 624, we end up with 84.
Bring next digit (6) of the dividend behind the 84 and repeat the process: 846 / 90

Moving on to step 4:
When dividing 846 by 90, we get 9 with a remainder of 36.
The next digit of our result is 9. 
Result so far: 69.0
Deduct 810 from 846 and we're left with 36.
Take the next digit (7) from the dividend and append it to 36, then repeat: 367 / 90

Let's proceed to step 5:
If we divide 367 by 90, we get 4 and a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 694.0
If we subtract 360 from 367, we get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 90

Moving on to step 6:
When dividing 77 by 90, we get 0 with a remainder of 77.
Record the quotient 0 as the next digit in the result. 
Result so far: 6940.0
The remainder is 77 after subtracting 0 from 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Advancing to step 7:
90 goes into 770 8 times with a remainder of 50.
The number 8 becomes the next digit in our result. 
Result so far: 6940.8
The remainder is 50 after subtracting 720 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
When dividing 500 by 90, we get 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 6940.85
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
The number 90 fits into 500 5 times, leaving a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 6940.855
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final outcome is 6940.855, with a leftover of 0.005.