681932 ÷ 31 
Our goal is to divide 681932 by 31.

Advancing to step 1:
6 divided by 31 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 31

Advancing to step 2:
The number 31 fits into 68 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 6 after subtracting 62 from 68.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 31

Advancing to step 3:
When dividing 61 by 31, we get 1 with a remainder of 30.
Use 1 as the next digit of our solution. 
Result so far: 21.0
If we subtract 31 from 61, we get 30.
Bring next digit (9) of the dividend behind the 30 and repeat the process: 309 / 31

Moving on to step 4:
When dividing 309 by 31, we get 9 with a remainder of 30.
The next digit of our result is 9. 
Result so far: 219.0
If we take 279 away from 309, we end up with 30.
Append the next digit (3) from the dividend to 30 and continue with: 303 / 31

On to step 5:
When dividing 303 by 31, we get 9 with a remainder of 24.
Use 9 as the next digit of our solution. 
Result so far: 2199.0
If we take 279 away from 303, we end up with 24.
Append the next digit (2) from the dividend to 24 and continue with: 242 / 31

On to step 6:
242 divided by 31 is 7 with a remainder of 25.
Use 7 as the next digit of our solution. 
Result so far: 21997.0
The remainder is 25 after subtracting 217 from 242.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 7:
31 goes into 250 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 21997.8
The remainder is 2 after subtracting 248 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
The number 31 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 21997.8
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
31 can be fit into 200 6 times, resulting in a remainder of 14.
The next digit of our result is 6. 
Result so far: 21997.806
Deduct 186 from 200 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 10:
31 can be fit into 140 4 times, resulting in a remainder of 16.
The next digit of our result is 4. 
Result so far: 21997.8064
If we take 124 away from 140, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
31 can be fit into 160 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 21997.80645
Deduct 155 from 160 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
When dividing 50 by 31, we get 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 21997.806451
If we take 31 away from 50, 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.

Going ahead to step 13:
190 divided by 31 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 21997.8064516
The remainder is 4 after subtracting 186 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
40 divided by 31 is 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 21997.80645161
Deduct 31 from 40 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 21997.80645161 with a remainder of 9e-09.