107888 divided by 99 
We want to figure out the number of times 107888 can be divided by 99.

Moving on to step 1:
If we divide 1 by 99, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 99

Advancing to step 2:
10 divided by 99 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 99

Advancing to step 3:
The number 99 fits into 107 1 times, leaving a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 99 from 107, we get 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 99

On to step 4:
99 can be fit into 88 0 times, resulting in a remainder of 88.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Deduct 0 from 88 and we're left with 88.
Include the next digit (8) from the dividend after 88, then repeat: 888 / 99

Step 5:
99 goes into 888 8 times with a remainder of 96.
Put 8 as the next digit of the answer. 
Result so far: 108.0
If we take 792 away from 888, we end up with 96.
Fetch the next digit (8) from the dividend, attach it to 96 and continue: 968 / 99

Moving on to step 6:
When dividing 968 by 99, we get 9 with a remainder of 77.
The next digit of our result is 9. 
Result so far: 1089.0
Subtract 891 from 968 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

On to step 7:
When dividing 770 by 99, we get 7 with a remainder of 77.
The next digit of our result is 7. 
Result so far: 1089.7
The remainder is 77 after subtracting 693 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 8:
When dividing 770 by 99, we get 7 with a remainder of 77.
Record the quotient 7 as the next digit in the result. 
Result so far: 1089.77
If we subtract 693 from 770, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

After the division, we end up with 1089.77 and a remainder of 0.077.