100835 ÷ 88 
Our goal is to divide 100835 by 88.

Going ahead to step 1:
If we divide 1 by 88, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 88

Let's proceed to step 2:
88 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 88

Step 3:
100 divided by 88 is 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 88 from 100, we get 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 88

Going ahead to step 4:
When dividing 128 by 88, we get 1 with a remainder of 40.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtracting 88 from 128 leaves us with 40.
Bring next digit (3) of the dividend behind the 40 and repeat the process: 403 / 88

Advancing to step 5:
If we divide 403 by 88, we get 4 and a remainder of 51.
The next digit of our result is 4. 
Result so far: 114.0
The remainder is 51 after subtracting 352 from 403.
Bring next digit (5) of the dividend behind the 51 and repeat the process: 515 / 88

Advancing to step 6:
515 divided by 88 is 5 with a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 1145.0
If we subtract 440 from 515, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 7:
88 goes into 750 8 times with a remainder of 46.
Use 8 as the next digit of our solution. 
Result so far: 1145.8
If we subtract 704 from 750, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 8:
When dividing 460 by 88, we get 5 with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 1145.85
Deduct 440 from 460 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
The number 88 fits into 200 2 times, leaving a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 1145.852
If we take 176 away from 200, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 10:
If we divide 240 by 88, we get 2 and a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 1145.8522
Subtract 176 from 240 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

After the division, we end up with 1145.8522 and a remainder of 0.00064.