Let's divide 965741 by 91
We want to figure out the number of times 965741 can be divided by 91.

Step 1:
The number 91 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 91

Let's proceed to step 2:
96 divided by 91 is 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 5 after subtracting 91 from 96.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 91

Let's proceed to step 3:
If we divide 55 by 91, we get 0 and a remainder of 55.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 55, we get 55.
Grab the next digit (7) from the dividend, add it to 55, then carry on: 557 / 91

Step 4:
91 goes into 557 6 times with a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
Subtract 546 from 557 to get 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 91

Let's proceed to step 5:
If we divide 114 by 91, we get 1 and a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1061.0
The remainder is 23 after subtracting 91 from 114.
Fetch the next digit (1) from the dividend, attach it to 23 and continue: 231 / 91

Going ahead to step 6:
231 divided by 91 is 2 with a remainder of 49.
The next digit of our result is 2. 
Result so far: 10612.0
The remainder is 49 after subtracting 182 from 231.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 7:
490 divided by 91 is 5 with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 10612.5
The remainder is 35 after subtracting 455 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
91 can be fit into 350 3 times, resulting in a remainder of 77.
The number 3 becomes the next digit in our result. 
Result so far: 10612.53
If we take 273 away from 350, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Let's proceed to step 9:
91 goes into 770 8 times with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 10612.538
Subtract 728 from 770 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 10:
The number 91 fits into 420 4 times, leaving a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 10612.5384
Deduct 364 from 420 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 11:
The number 91 fits into 560 6 times, leaving a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 10612.53846
Subtract 546 from 560 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 12:
The number 91 fits into 140 1 times, leaving a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 10612.538461
Subtract 91 from 140 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 13:
91 goes into 490 5 times with a remainder of 35.
The next digit of our result is 5. 
Result so far: 10612.5384615
Deduct 455 from 490 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 14:
91 goes into 350 3 times with a remainder of 77.
Use 3 as the next digit of our solution. 
Result so far: 10612.53846153
Subtracting 273 from 350 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

The final result is 10612.53846153 with a remainder of 7.7e-08.