787631 ÷ 9 
We're looking to find how many times 9 goes into 787631.

Advancing to step 1:
When dividing 7 by 9, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 9

Moving on to step 2:
If we divide 78 by 9, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 6 after subtracting 72 from 78.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 9

Step 3:
67 divided by 9 is 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 87.0
If we take 63 away from 67, we end up with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 9

Advancing to step 4:
46 divided by 9 is 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 875.0
If we take 45 away from 46, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 9

Step 5:
13 divided by 9 is 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 8751.0
Subtract 9 from 13 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 9

Step 6:
When dividing 41 by 9, we get 4 with a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 87514.0
Subtract 36 from 41 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
9 can be fit into 50 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 87514.5
Deduct 45 from 50 and we're left 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.

Step 8:
When dividing 50 by 9, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 87514.55
If we take 45 away from 50, we end up 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.

In conclusion, the division gives 87514.55 with a balance of 0.005.