We look at the division of 95666 by 28 
We want to figure out the number of times 95666 can be divided by 28.

Step 1:
The number 28 fits into 9 0 times, leaving a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 28

Moving on to step 2:
28 goes into 95 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 84 from 95 to get 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 28

Step 3:
28 can be fit into 116 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 34.0
If we subtract 112 from 116, we get 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 28

Advancing to step 4:
46 divided by 28 is 1 with a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 341.0
The remainder is 18 after subtracting 28 from 46.
Bring next digit (6) of the dividend behind the 18 and repeat the process: 186 / 28

Step 5:
28 can be fit into 186 6 times, resulting in a remainder of 18.
The next digit of our result is 6. 
Result so far: 3416.0
Subtract 168 from 186 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 6:
The number 28 fits into 180 6 times, leaving a remainder of 12.
The next digit of our result is 6. 
Result so far: 3416.6
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
When dividing 120 by 28, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 3416.64
If we take 112 away from 120, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
80 divided by 28 is 2 with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 3416.642
If we subtract 56 from 80, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 9:
28 can be fit into 240 8 times, resulting in a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 3416.6428
Subtracting 224 from 240 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
160 divided by 28 is 5 with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 3416.64285
Subtract 140 from 160 to 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 11:
The number 28 fits into 200 7 times, leaving a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 3416.642857
If we subtract 196 from 200, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
The number 28 fits into 40 1 times, leaving a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 3416.6428571
If we take 28 away from 40, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
120 divided by 28 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 3416.64285714
If we take 112 away from 120, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 3416.64285714 and a remainder of 8e-09.