We divide 965964 by 91
We're looking to find how many times 91 goes into 965964.

On to step 1:
The number 91 fits into 9 0 times, leaving a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 91

Step 2:
If we divide 96 by 91, we get 1 and a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 91 from 96 and we're left with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 91

Going ahead to step 3:
If we divide 55 by 91, we get 0 and a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 55, we end up with 55.
Bring next digit (9) of the dividend behind the 55 and repeat the process: 559 / 91

Moving on to step 4:
559 divided by 91 is 6 with a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 106.0
The remainder is 13 after subtracting 546 from 559.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 91

On to step 5:
91 goes into 136 1 times with a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 1061.0
Subtract 91 from 136 to get 45.
Fetch the next digit (4) from the dividend, attach it to 45 and continue: 454 / 91

On to step 6:
454 divided by 91 is 4 with a remainder of 90.
Write down 4 as next digit of the result. 
Result so far: 10614.0
Deduct 364 from 454 and we're left with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Step 7:
91 can be fit into 900 9 times, resulting in a remainder of 81.
Put 9 as the next digit of the answer. 
Result so far: 10614.9
The remainder is 81 after subtracting 819 from 900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Let's proceed to step 8:
When dividing 810 by 91, we get 8 with a remainder of 82.
Record the quotient 8 as the next digit in the result. 
Result so far: 10614.98
If we take 728 away from 810, we end up with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Step 9:
91 can be fit into 820 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 10614.989
Subtract 819 from 820 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
If we divide 10 by 91, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 10614.989
Subtracting 0 from 10 leaves us 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.

Advancing to step 11:
The number 91 fits into 100 1 times, leaving a remainder of 9.
The next digit of our result is 1. 
Result so far: 10614.98901
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 12:
The number 91 fits into 90 0 times, leaving a remainder of 90.
Record the quotient 0 as the next digit in the result. 
Result so far: 10614.98901
The remainder is 90 after subtracting 0 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Let's proceed to step 13:
91 goes into 900 9 times with a remainder of 81.
Record the quotient 9 as the next digit in the result. 
Result so far: 10614.9890109
The remainder is 81 after subtracting 819 from 900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Let's proceed to step 14:
91 goes into 810 8 times with a remainder of 82.
Use 8 as the next digit of our solution. 
Result so far: 10614.98901098
If we subtract 728 from 810, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

In conclusion, the division gives 10614.98901098 with a balance of 8.2e-08.