629564 ÷ 9 
Our goal is to divide 629564 by 9.

Moving on to step 1:
If we divide 6 by 9, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 9

Step 2:
The number 9 fits into 62 6 times, leaving a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 54 from 62 to get 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 9

Advancing to step 3:
If we divide 89 by 9, we get 9 and a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 69.0
If we subtract 81 from 89, we get 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 9

On to step 4:
9 can be fit into 85 9 times, resulting in a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 699.0
Subtracting 81 from 85 leaves us with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 9

On to step 5:
If we divide 46 by 9, we get 5 and a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 6995.0
If we take 45 away from 46, we end up with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 9

Let's proceed to step 6:
14 divided by 9 is 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 69951.0
Subtracting 9 from 14 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
The number 9 fits into 50 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 69951.5
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
The number 9 fits into 50 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 69951.55
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 69951.55 and a remainder of 0.005.