We look at the division of 819566 by 31 
Our goal is to divide 819566 by 31.

Advancing to step 1:
When dividing 8 by 31, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 31

Step 2:
When dividing 81 by 31, we get 2 with a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 62 from 81, we get 19.
Include the next digit (9) from the dividend after 19, then repeat: 199 / 31

Advancing to step 3:
199 divided by 31 is 6 with a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 26.0
If we take 186 away from 199, we end up with 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 31

On to step 4:
If we divide 135 by 31, we get 4 and a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 264.0
The remainder is 11 after subtracting 124 from 135.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 31

Moving on to step 5:
31 goes into 116 3 times with a remainder of 23.
Record the quotient 3 as the next digit in the result. 
Result so far: 2643.0
Deduct 93 from 116 and we're left with 23.
Append the next digit (6) from the dividend to 23 and continue with: 236 / 31

On to step 6:
When dividing 236 by 31, we get 7 with a remainder of 19.
The next digit of our result is 7. 
Result so far: 26437.0
If we take 217 away from 236, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
If we divide 190 by 31, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 26437.6
Subtracting 186 from 190 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
40 divided by 31 is 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 26437.61
The remainder is 9 after subtracting 31 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
31 goes into 90 2 times with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 26437.612
If we subtract 62 from 90, we get 28.
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 10:
31 goes into 280 9 times with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 26437.6129
Deduct 279 from 280 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 11:
The number 31 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 26437.6129
The remainder is 10 after subtracting 0 from 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 12:
If we divide 100 by 31, we get 3 and a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 26437.612903
Subtracting 93 from 100 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
If we divide 70 by 31, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 26437.6129032
If we subtract 62 from 70, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
When dividing 80 by 31, we get 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 26437.61290322
If we take 62 away from 80, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The quotient of the division is 26437.61290322, and the remainder is 1.8e-08.