966565 ÷ 95 
We want to divide 966565 by 95.

Moving on to step 1:
When dividing 9 by 95, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 95

Let's proceed to step 2:
When dividing 96 by 95, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 95 from 96 leaves us with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 95

Let's proceed to step 3:
95 goes into 16 0 times with a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 16 after subtracting 0 from 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 95

Going ahead to step 4:
95 can be fit into 165 1 times, resulting in a remainder of 70.
Write down 1 as next digit of the result. 
Result so far: 101.0
Deduct 95 from 165 and we're left with 70.
Fetch the next digit (6) from the dividend, attach it to 70 and continue: 706 / 95

Let's proceed to step 5:
706 divided by 95 is 7 with a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 1017.0
The remainder is 41 after subtracting 665 from 706.
Fetch the next digit (5) from the dividend, attach it to 41 and continue: 415 / 95

On to step 6:
415 divided by 95 is 4 with a remainder of 35.
Record the quotient 4 as the next digit in the result. 
Result so far: 10174.0
The remainder is 35 after subtracting 380 from 415.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 7:
95 can be fit into 350 3 times, resulting in a remainder of 65.
The number 3 becomes the next digit in our result. 
Result so far: 10174.3
Subtract 285 from 350 to 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.

Going ahead to step 8:
If we divide 650 by 95, we get 6 and a remainder of 80.
Write down 6 as next digit of the result. 
Result so far: 10174.36
The remainder is 80 after subtracting 570 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 9:
800 divided by 95 is 8 with a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 10174.368
Deduct 760 from 800 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
If we divide 400 by 95, we get 4 and a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 10174.3684
The remainder is 20 after subtracting 380 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
The number 95 fits into 200 2 times, leaving a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 10174.36842
Subtract 190 from 200 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
When dividing 100 by 95, we get 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 10174.368421
If we subtract 95 from 100, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
When dividing 50 by 95, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 10174.368421
If we take 0 away from 50, we end up 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.

On to step 14:
The number 95 fits into 500 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 10174.36842105
Subtract 475 from 500 to 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.

In conclusion, the division gives 10174.36842105 with a balance of 2.5e-08.