We look at the division of 96961 by 95 
We're looking to find how many times 95 goes into 96961.

Advancing to step 1:
If we divide 9 by 95, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 95

On to step 2:
95 goes into 96 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 95 away from 96, we end up with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 95

Going ahead to step 3:
95 can be fit into 19 0 times, resulting in a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 19 after subtracting 0 from 19.
Fetch the next digit (6) from the dividend, attach it to 19 and continue: 196 / 95

Let's proceed to step 4:
95 can be fit into 196 2 times, resulting in a remainder of 6.
The next digit of our result is 2. 
Result so far: 102.0
Subtract 190 from 196 to get 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 95

Going ahead to step 5:
95 can be fit into 61 0 times, resulting in a remainder of 61.
The next digit of our result is 0. 
Result so far: 1020.0
If we take 0 away from 61, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 6:
If we divide 610 by 95, we get 6 and a remainder of 40.
The next digit of our result is 6. 
Result so far: 1020.6
Subtract 570 from 610 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 7:
95 goes into 400 4 times with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 1020.64
Subtract 380 from 400 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.

Let's proceed to step 8:
95 can be fit into 200 2 times, resulting in a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 1020.642
If we take 190 away from 200, 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 9:
If we divide 100 by 95, we get 1 and a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1020.6421
The remainder is 5 after subtracting 95 from 100.
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 10:
The number 95 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 1020.6421
Deduct 0 from 50 and we're left 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.

Going ahead to step 11:
When dividing 500 by 95, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 1020.642105
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.

Advancing to step 12:
When dividing 250 by 95, we get 2 with a remainder of 60.
Record the quotient 2 as the next digit in the result. 
Result so far: 1020.6421052
Subtracting 190 from 250 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 13:
600 divided by 95 is 6 with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 1020.64210526
The remainder is 30 after subtracting 570 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 1020.64210526 with a remainder of 3e-08.