We're dividing 873626 by 9 
We're looking to find how many times 9 goes into 873626.

Let's proceed to step 1:
When dividing 8 by 9, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 9

Moving on to step 2:
If we divide 87 by 9, we get 9 and a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Deduct 81 from 87 and we're left with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 9

Moving on to step 3:
If we divide 63 by 9, we get 7 and a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 97.0
If we subtract 63 from 63, we get 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 9

Going ahead to step 4:
If we divide 6 by 9, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 970.0
If we subtract 0 from 6, we get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 9

On to step 5:
62 divided by 9 is 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 9706.0
If we subtract 54 from 62, we get 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 9

Moving on to step 6:
The number 9 fits into 86 9 times, leaving a remainder of 5.
The next digit of our result is 9. 
Result so far: 97069.0
The remainder is 5 after subtracting 81 from 86.
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:
If we divide 50 by 9, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 97069.5
If we subtract 45 from 50, we 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.

Let's proceed to step 8:
The number 9 fits into 50 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 97069.55
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.

The final outcome is 97069.55, with a leftover of 0.005.