We're dividing 106040 by 75 
Let's see how many times 75 fits into 106040.

Let's proceed to step 1:
If we divide 1 by 75, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 75

Step 2:
75 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 75

On to step 3:
106 divided by 75 is 1 with a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 75 from 106 and we're left with 31.
Append the next digit (0) from the dividend to 31 and continue with: 310 / 75

Let's proceed to step 4:
When dividing 310 by 75, we get 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Deduct 300 from 310 and we're left with 10.
Take the next digit (4) from the dividend and append it to 10, then repeat: 104 / 75

Moving on to step 5:
The number 75 fits into 104 1 times, leaving a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 141.0
Subtracting 75 from 104 leaves us with 29.
Include the next digit (0) from the dividend after 29, then repeat: 290 / 75

Going ahead to step 6:
The number 75 fits into 290 3 times, leaving a remainder of 65.
Put 3 as the next digit of the answer. 
Result so far: 1413.0
If we subtract 225 from 290, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 7:
650 divided by 75 is 8 with a remainder of 50.
Record the quotient 8 as the next digit in the result. 
Result so far: 1413.8
Subtract 600 from 650 to 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 8:
500 divided by 75 is 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 1413.86
Subtracting 450 from 500 leaves us 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.

Moving on to step 9:
If we divide 500 by 75, we get 6 and a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 1413.866
Subtract 450 from 500 to 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.

After the division, we end up with 1413.866 and a remainder of 0.005.