We look at the division of 108679 by 75 
Our goal is to divide 108679 by 75.

Advancing to step 1:
The number 75 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 75

On 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
If we take 0 away from 10, we end up with 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 75

Moving on to step 3:
108 divided by 75 is 1 with a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 75 from 108 to get 33.
Include the next digit (6) from the dividend after 33, then repeat: 336 / 75

Let's proceed to step 4:
When dividing 336 by 75, we get 4 with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Deduct 300 from 336 and we're left with 36.
Include the next digit (7) from the dividend after 36, then repeat: 367 / 75

On to step 5:
75 goes into 367 4 times with a remainder of 67.
The next digit of our result is 4. 
Result so far: 144.0
Subtract 300 from 367 to get 67.
Include the next digit (9) from the dividend after 67, then repeat: 679 / 75

Moving on to step 6:
75 can be fit into 679 9 times, resulting in a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 1449.0
If we take 675 away from 679, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
If we divide 40 by 75, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 1449.0
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
When dividing 400 by 75, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 1449.05
Subtracting 375 from 400 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
75 goes into 250 3 times with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 1449.053
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 10:
When dividing 250 by 75, we get 3 with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 1449.0533
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 1449.0533, and the remainder is 0.00025.