We're dividing 430631 by 9 
We want to figure out the number of times 430631 can be divided by 9.

Going ahead to step 1:
9 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 9

On to step 2:
When dividing 43 by 9, we get 4 with a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 36 from 43, we get 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 9

Advancing to step 3:
If we divide 70 by 9, we get 7 and a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 47.0
If we take 63 away from 70, we end up with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 9

Step 4:
76 divided by 9 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 478.0
If we subtract 72 from 76, we get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 9

Step 5:
If we divide 43 by 9, we get 4 and a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 4784.0
If we take 36 away from 43, we end up with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 9

On to step 6:
71 divided by 9 is 7 with a remainder of 8.
The next digit of our result is 7. 
Result so far: 47847.0
If we take 63 away from 71, 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.

Step 7:
9 goes into 80 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 47847.8
Subtracting 72 from 80 leaves us 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.

Advancing to step 8:
80 divided by 9 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 47847.88
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.

The quotient of the division is 47847.88, and the remainder is 0.008.