463625 ÷ 9 
We want to figure out the number of times 463625 can be divided by 9.

Step 1:
When dividing 4 by 9, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 9

Advancing to step 2:
9 goes into 46 5 times with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 1 after subtracting 45 from 46.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 9

Moving on to step 3:
13 divided by 9 is 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 51.0
If we take 9 away from 13, we end up with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 9

Moving on to step 4:
9 goes into 46 5 times with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 515.0
If we take 45 away from 46, we end up with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 9

Step 5:
When dividing 12 by 9, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 5151.0
The remainder is 3 after subtracting 9 from 12.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 9

Advancing to step 6:
If we divide 35 by 9, we get 3 and a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 51513.0
If we take 27 away from 35, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
If we divide 80 by 9, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 51513.8
If we take 72 away from 80, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
9 can be fit into 80 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 51513.88
Deduct 72 from 80 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 51513.88 and a remainder of 0.008.