Let's divide 10831097 by 969
We want to figure out the number of times 10831097 can be divided by 969.

Advancing to step 1:
969 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 969

Moving on to step 2:
969 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 969

Moving on to step 3:
108 divided by 969 is 0 with a remainder of 108.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 108 and we're left with 108.
Include the next digit (3) from the dividend after 108, then repeat: 1083 / 969

On to step 4:
1083 divided by 969 is 1 with a remainder of 114.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 114 after subtracting 969 from 1083.
Grab the next digit (1) from the dividend, add it to 114, then carry on: 1141 / 969

Step 5:
1141 divided by 969 is 1 with a remainder of 172.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we subtract 969 from 1141, we get 172.
Append the next digit (0) from the dividend to 172 and continue with: 1720 / 969

Going ahead to step 6:
If we divide 1720 by 969, we get 1 and a remainder of 751.
Put 1 as the next digit of the answer. 
Result so far: 111.0
Subtract 969 from 1720 to get 751.
Grab the next digit (9) from the dividend, add it to 751, then carry on: 7519 / 969

Step 7:
969 can be fit into 7519 7 times, resulting in a remainder of 736.
Record the quotient 7 as the next digit in the result. 
Result so far: 1117.0
Subtract 6783 from 7519 to get 736.
Include the next digit (7) from the dividend after 736, then repeat: 7367 / 969

Let's proceed to step 8:
969 can be fit into 7367 7 times, resulting in a remainder of 584.
The number 7 becomes the next digit in our result. 
Result so far: 11177.0
If we subtract 6783 from 7367, we get 584.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

Moving on to step 9:
5840 divided by 969 is 6 with a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 11177.6
Subtracting 5814 from 5840 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 10:
260 divided by 969 is 0 with a remainder of 260.
Use 0 as the next digit of our solution. 
Result so far: 11177.6
If we take 0 away from 260, we end up with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Moving on to step 11:
The number 969 fits into 2600 2 times, leaving a remainder of 662.
Write down 2 as next digit of the result. 
Result so far: 11177.602
If we take 1938 away from 2600, we end up with 662.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6620, and continue the process.

Going ahead to step 12:
If we divide 6620 by 969, we get 6 and a remainder of 806.
Put 6 as the next digit of the answer. 
Result so far: 11177.6026
Subtracting 5814 from 6620 leaves us with 806.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8060, and continue the process.

Moving on to step 13:
969 can be fit into 8060 8 times, resulting in a remainder of 308.
The next digit of our result is 8. 
Result so far: 11177.60268
If we take 7752 away from 8060, we end up with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Moving on to step 14:
The number 969 fits into 3080 3 times, leaving a remainder of 173.
The next digit of our result is 3. 
Result so far: 11177.602683
Subtracting 2907 from 3080 leaves us with 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1730, and continue the process.

Going ahead to step 15:
If we divide 1730 by 969, we get 1 and a remainder of 761.
The next digit of our result is 1. 
Result so far: 11177.6026831
Subtract 969 from 1730 to get 761.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7610, and continue the process.

Let's proceed to step 16:
969 can be fit into 7610 7 times, resulting in a remainder of 827.
Write down 7 as next digit of the result. 
Result so far: 11177.60268317
Deduct 6783 from 7610 and we're left with 827.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8270, and continue the process.

In conclusion, the division gives 11177.60268317 with a balance of 8.27e-07.