We look at the division of 876383 by 9 
We want to figure out the number of times 876383 can be divided by 9.

On to step 1:
8 divided by 9 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 9

Going ahead to step 2:
When dividing 87 by 9, we get 9 with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Deduct 81 from 87 and we're left with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 9

Moving on to step 3:
9 goes into 66 7 times with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 97.0
If we subtract 63 from 66, we get 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 9

Step 4:
The number 9 fits into 33 3 times, leaving a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 973.0
Subtract 27 from 33 to get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 9

Let's proceed to step 5:
9 can be fit into 68 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 9737.0
If we take 63 away from 68, we end up with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 9

Step 6:
9 can be fit into 53 5 times, resulting in a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 97375.0
Subtract 45 from 53 to get 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:
The number 9 fits into 80 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 97375.8
If we subtract 72 from 80, we get 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 8:
When dividing 80 by 9, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 97375.88
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 final result is 97375.88 with a remainder of 0.008.