966568 ÷ 95 
Let's see how many times 95 fits into 966568.

Going ahead to step 1:
9 divided by 95 is 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 95

Going ahead to step 2:
If we divide 96 by 95, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 95 from 96 and we're left with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 95

Advancing to step 3:
When dividing 16 by 95, we get 0 with a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 16, we end up with 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 95

Let's proceed to step 4:
If we divide 165 by 95, we get 1 and a remainder of 70.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
Deduct 95 from 165 and we're left with 70.
Append the next digit (6) from the dividend to 70 and continue with: 706 / 95

On to step 5:
The number 95 fits into 706 7 times, leaving a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 1017.0
If we take 665 away from 706, we end up with 41.
Bring next digit (8) of the dividend behind the 41 and repeat the process: 418 / 95

Advancing to step 6:
95 goes into 418 4 times with a remainder of 38.
The next digit of our result is 4. 
Result so far: 10174.0
Subtracting 380 from 418 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
The number 95 fits into 380 4 times, leaving a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 10174.4
The remainder is 0 after subtracting 380 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
The number 95 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 10174.4
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
95 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10174.4
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 10174.4, and the remainder is 0.0.