682841 ÷ 31 
We want to divide 682841 by 31.

Advancing to step 1:
When dividing 6 by 31, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 31

Let's proceed to step 2:
When dividing 68 by 31, we get 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 62 from 68, we get 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 31

Step 3:
When dividing 62 by 31, we get 2 with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Deduct 62 from 62 and we're left with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 31

Moving on to step 4:
31 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 220.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 31

On to step 5:
When dividing 84 by 31, we get 2 with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 2202.0
Subtracting 62 from 84 leaves us with 22.
Grab the next digit (1) from the dividend, add it to 22, then carry on: 221 / 31

Advancing to step 6:
31 can be fit into 221 7 times, resulting in a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 22027.0
If we take 217 away from 221, we end up 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.

On to step 7:
31 goes into 40 1 times with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 22027.1
If we subtract 31 from 40, 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.

Moving on to step 8:
When dividing 90 by 31, we get 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 22027.12
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.

Step 9:
31 goes into 280 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 22027.129
If we take 279 away from 280, we end up 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.

Let's proceed to step 10:
When dividing 10 by 31, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 22027.129
Deduct 0 from 10 and we're left 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.

On to step 11:
31 goes into 100 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 22027.12903
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.

On to step 12:
When dividing 70 by 31, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 22027.129032
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.

Moving on to step 13:
The number 31 fits into 80 2 times, leaving a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 22027.1290322
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 22027.1290322, and the remainder is 1.8e-07.