31721 ÷ 3 
Our goal is to divide 31721 by 3.

Step 1:
When dividing 3 by 3, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 3 from 3, we get 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 3

Advancing to step 2:
The number 3 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 1 to get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 3

Going ahead to step 3:
When dividing 17 by 3, we get 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 105.0
The remainder is 2 after subtracting 15 from 17.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 3

Advancing to step 4:
3 can be fit into 22 7 times, resulting in a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 1057.0
If we take 21 away from 22, we end up with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 3

On to step 5:
When dividing 11 by 3, we get 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 10573.0
If we take 9 away from 11, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 6:
3 goes into 20 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 10573.6
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 10573.66
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 10573.66, with a leftover of 0.002.