We divide 966107 by 75
Our goal is to divide 966107 by 75.

Step 1:
9 divided by 75 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 75

Step 2:
The number 75 fits into 96 1 times, leaving a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 75 away from 96, we end up with 21.
Bring next digit (6) of the dividend behind the 21 and repeat the process: 216 / 75

Step 3:
75 can be fit into 216 2 times, resulting in a remainder of 66.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we subtract 150 from 216, we get 66.
Fetch the next digit (1) from the dividend, attach it to 66 and continue: 661 / 75

Let's proceed to step 4:
When dividing 661 by 75, we get 8 with a remainder of 61.
Write down 8 as next digit of the result. 
Result so far: 128.0
If we take 600 away from 661, we end up with 61.
Fetch the next digit (0) from the dividend, attach it to 61 and continue: 610 / 75

Advancing to step 5:
75 can be fit into 610 8 times, resulting in a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 1288.0
If we take 600 away from 610, we end up with 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 75

Moving on to step 6:
75 goes into 107 1 times with a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 12881.0
Subtracting 75 from 107 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
75 can be fit into 320 4 times, resulting in a remainder of 20.
The next digit of our result is 4. 
Result so far: 12881.4
If we subtract 300 from 320, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 75, we get 2 and a remainder of 50.
Record the quotient 2 as the next digit in the result. 
Result so far: 12881.42
Subtract 150 from 200 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.

Advancing to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 12881.426
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 10:
75 goes into 500 6 times with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 12881.4266
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.

The final result is 12881.4266 with a remainder of 0.0005.