We divide 821126 by 31
We're looking to find how many times 31 goes into 821126.

Going ahead to step 1:
If we divide 8 by 31, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 31

On to step 2:
82 divided by 31 is 2 with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 20 after subtracting 62 from 82.
Grab the next digit (1) from the dividend, add it to 20, then carry on: 201 / 31

Going ahead to step 3:
If we divide 201 by 31, we get 6 and a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 26.0
If we take 186 away from 201, we end up with 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 31

Moving on to step 4:
31 can be fit into 151 4 times, resulting in a remainder of 27.
Write down 4 as next digit of the result. 
Result so far: 264.0
The remainder is 27 after subtracting 124 from 151.
Take the next digit (2) from the dividend and append it to 27, then repeat: 272 / 31

On to step 5:
31 goes into 272 8 times with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 2648.0
If we subtract 248 from 272, we get 24.
Fetch the next digit (6) from the dividend, attach it to 24 and continue: 246 / 31

Advancing to step 6:
The number 31 fits into 246 7 times, leaving a remainder of 29.
The next digit of our result is 7. 
Result so far: 26487.0
Subtracting 217 from 246 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
The number 31 fits into 290 9 times, leaving a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 26487.9
Deduct 279 from 290 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
31 can be fit into 110 3 times, resulting in a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 26487.93
The remainder is 17 after subtracting 93 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 9:
The number 31 fits into 170 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 26487.935
The remainder is 15 after subtracting 155 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 10:
When dividing 150 by 31, we get 4 with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 26487.9354
Subtracting 124 from 150 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.

Advancing to step 11:
31 can be fit into 260 8 times, resulting in a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 26487.93548
Subtract 248 from 260 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
If we divide 120 by 31, we get 3 and a remainder of 27.
The next digit of our result is 3. 
Result so far: 26487.935483
If we subtract 93 from 120, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 13:
31 goes into 270 8 times with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 26487.9354838
Deduct 248 from 270 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 14:
If we divide 220 by 31, we get 7 and a remainder of 3.
The next digit of our result is 7. 
Result so far: 26487.93548387
If we take 217 away from 220, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 26487.93548387 and a remainder of 3e-09.