819965 ÷ 31 
Our goal is to divide 819965 by 31.

Going ahead to step 1:
31 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 31

On to step 2:
31 goes into 81 2 times with a remainder of 19.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 62 from 81 and we're left with 19.
Include the next digit (9) from the dividend after 19, then repeat: 199 / 31

Advancing to step 3:
When dividing 199 by 31, we get 6 with a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
The remainder is 13 after subtracting 186 from 199.
Grab the next digit (9) from the dividend, add it to 13, then carry on: 139 / 31

Advancing to step 4:
The number 31 fits into 139 4 times, leaving a remainder of 15.
Use 4 as the next digit of our solution. 
Result so far: 264.0
The remainder is 15 after subtracting 124 from 139.
Take the next digit (6) from the dividend and append it to 15, then repeat: 156 / 31

Moving on to step 5:
The number 31 fits into 156 5 times, leaving a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 2645.0
Subtract 155 from 156 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 31

Going ahead to step 6:
31 can be fit into 15 0 times, resulting in a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 26450.0
Subtract 0 from 15 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
31 can be fit into 150 4 times, resulting in a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 26450.4
If we subtract 124 from 150, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
260 divided by 31 is 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 26450.48
If we subtract 248 from 260, we 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.

Moving on to step 9:
The number 31 fits into 120 3 times, leaving a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 26450.483
If we take 93 away from 120, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 10:
If we divide 270 by 31, we get 8 and a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 26450.4838
The remainder is 22 after subtracting 248 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 11:
If we divide 220 by 31, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 26450.48387
The remainder is 3 after subtracting 217 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 12:
31 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 26450.48387
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 13:
31 goes into 300 9 times with a remainder of 21.
The next digit of our result is 9. 
Result so far: 26450.4838709
If we take 279 away from 300, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 14:
If we divide 210 by 31, we get 6 and a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 26450.48387096
Subtract 186 from 210 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Our division results in 26450.48387096 with a remaining 2.4e-08.