We look at the division of 879431 by 9 
We want to figure out the number of times 879431 can be divided by 9.

Step 1:
9 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 9

Let's proceed to step 2:
9 goes into 87 9 times with a remainder of 6.
The next digit of our result is 9. 
Result so far: 9.0
Subtracting 81 from 87 leaves us with 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 9

Going ahead to step 3:
The number 9 fits into 69 7 times, leaving a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 97.0
If we take 63 away from 69, we end up with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 9

Going ahead to step 4:
The number 9 fits into 64 7 times, leaving a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 977.0
Deduct 63 from 64 and we're left with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 9

Moving on to step 5:
9 goes into 13 1 times with a remainder of 4.
The next digit of our result is 1. 
Result so far: 9771.0
Deduct 9 from 13 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 9

Moving on to step 6:
9 goes into 41 4 times with a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 97714.0
Subtracting 36 from 41 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.

Advancing to step 7:
The number 9 fits into 50 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 97714.5
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.

Moving on to step 8:
9 goes into 50 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 97714.55
Subtract 45 from 50 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.

The quotient of the division is 97714.55, and the remainder is 0.005.