826965 divided by 31 
We're looking to find how many times 31 goes into 826965.

On to step 1:
8 divided by 31 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 31

Moving on to step 2:
When dividing 82 by 31, we get 2 with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 62 from 82 leaves us with 20.
Append the next digit (6) from the dividend to 20 and continue with: 206 / 31

Let's proceed to step 3:
206 divided by 31 is 6 with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
If we take 186 away from 206, we end up with 20.
Fetch the next digit (9) from the dividend, attach it to 20 and continue: 209 / 31

Step 4:
The number 31 fits into 209 6 times, leaving a remainder of 23.
Write down 6 as next digit of the result. 
Result so far: 266.0
If we subtract 186 from 209, we get 23.
Append the next digit (6) from the dividend to 23 and continue with: 236 / 31

Advancing to step 5:
31 can be fit into 236 7 times, resulting in a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 2667.0
The remainder is 19 after subtracting 217 from 236.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 31

Moving on to step 6:
When dividing 195 by 31, we get 6 with a remainder of 9.
The next digit of our result is 6. 
Result so far: 26676.0
If we subtract 186 from 195, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
31 can be fit into 90 2 times, resulting in a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 26676.2
The remainder is 28 after subtracting 62 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
31 can be fit into 280 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 26676.29
The remainder is 1 after subtracting 279 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
10 divided by 31 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 26676.29
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 10:
If we divide 100 by 31, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 26676.2903
The remainder is 7 after subtracting 93 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
When dividing 70 by 31, we get 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 26676.29032
Deduct 62 from 70 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
31 goes into 80 2 times with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 26676.290322
Subtract 62 from 80 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 26676.290322 with a balance of 1.8e-06.