We look at the division of 107875 by 9 
We want to figure out the number of times 107875 can be divided by 9.

Let's proceed to step 1:
The number 9 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 9

Advancing to step 2:
9 goes into 10 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 9 from 10 and we're left with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 9

Step 3:
17 divided by 9 is 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtracting 9 from 17 leaves us with 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 9

Let's proceed to step 4:
When dividing 88 by 9, we get 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 119.0
Deduct 81 from 88 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 9

Step 5:
9 goes into 77 8 times with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 1198.0
Deduct 72 from 77 and we're left with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 9

Step 6:
9 can be fit into 55 6 times, resulting in a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 11986.0
Deduct 54 from 55 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
9 goes into 10 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 11986.1
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
9 can be fit into 10 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 11986.11
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 11986.11, and the remainder is 0.001.