31937 ÷ 11 
We're looking to find how many times 11 goes into 31937.

Step 1:
When dividing 3 by 11, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 11

Going ahead to step 2:
31 divided by 11 is 2 with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 22 from 31 to get 9.
Fetch the next digit (9) from the dividend, attach it to 9 and continue: 99 / 11

Moving on to step 3:
If we divide 99 by 11, we get 9 and a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 29.0
Subtracting 99 from 99 leaves us with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 11

Going ahead to step 4:
If we divide 3 by 11, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 290.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 11

Going ahead to step 5:
The number 11 fits into 37 3 times, leaving a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 2903.0
The remainder is 4 after subtracting 33 from 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 6:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 2903.3
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
When dividing 70 by 11, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 2903.36
If we take 66 away from 70, 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.

Going ahead to step 8:
40 divided by 11 is 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 2903.363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
When dividing 70 by 11, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 2903.3636
If we take 66 away from 70, 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.

Let's proceed to step 10:
When dividing 40 by 11, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 2903.36363
Subtracting 33 from 40 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.

Going ahead to step 11:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 2903.363636
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 2903.3636363
Subtract 33 from 40 to get 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:
When dividing 70 by 11, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 2903.36363636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 2903.36363636 with a balance of 4e-09.