We're dividing 19966 by 75 
We want to figure out the number of times 19966 can be divided by 75.

Moving on to step 1:
The number 75 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 75

Moving on to step 2:
75 goes into 19 0 times with a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 19 leaves us with 19.
Grab the next digit (9) from the dividend, add it to 19, then carry on: 199 / 75

Going ahead to step 3:
The number 75 fits into 199 2 times, leaving a remainder of 49.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 150 from 199, we get 49.
Grab the next digit (6) from the dividend, add it to 49, then carry on: 496 / 75

Let's proceed to step 4:
When dividing 496 by 75, we get 6 with a remainder of 46.
Use 6 as the next digit of our solution. 
Result so far: 26.0
If we take 450 away from 496, we end up with 46.
Include the next digit (6) from the dividend after 46, then repeat: 466 / 75

Step 5:
466 divided by 75 is 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 266.0
The remainder is 16 after subtracting 450 from 466.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 6:
The number 75 fits into 160 2 times, leaving a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 266.2
If we take 150 away from 160, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
100 divided by 75 is 1 with a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 266.21
If we subtract 75 from 100, 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.

Advancing to step 8:
250 divided by 75 is 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 266.213
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.

Moving on to step 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 266.2133
Deduct 225 from 250 and we're left 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.

In conclusion, the division gives 266.2133 with a balance of 0.00025.