We're dividing 105110 by 75 
We want to figure out the number of times 105110 can be divided by 75.

On to step 1:
75 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 75

Advancing to step 2:
75 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
Subtracting 0 from 10 leaves us with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 75

Let's proceed to step 3:
105 divided by 75 is 1 with a remainder of 30.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 75 from 105 and we're left with 30.
Bring next digit (1) of the dividend behind the 30 and repeat the process: 301 / 75

On to step 4:
75 goes into 301 4 times with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 14.0
Subtract 300 from 301 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 75

Going ahead to step 5:
75 goes into 11 0 times with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 140.0
Subtract 0 from 11 to get 11.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 75

Moving on to step 6:
The number 75 fits into 110 1 times, leaving a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 1401.0
If we take 75 away from 110, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 7:
350 divided by 75 is 4 with a remainder of 50.
Record the quotient 4 as the next digit in the result. 
Result so far: 1401.4
The remainder is 50 after subtracting 300 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The next digit of our result is 6. 
Result so far: 1401.46
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
500 divided by 75 is 6 with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 1401.466
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 1401.466, and the remainder is 0.005.