31365 ÷ 11 
We want to figure out the number of times 31365 can be divided by 11.

Moving on to step 1:
3 divided by 11 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 11

On to step 2:
When dividing 31 by 11, we get 2 with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 22 from 31 leaves us with 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 11

Moving on to step 3:
11 goes into 93 8 times with a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 28.0
Subtracting 88 from 93 leaves us with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 11

Going ahead to step 4:
11 goes into 56 5 times with a remainder of 1.
The next digit of our result is 5. 
Result so far: 285.0
If we subtract 55 from 56, we get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 11

Step 5:
The number 11 fits into 15 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 2851.0
Deduct 11 from 15 and we're left 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.

Advancing to step 6:
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: 2851.3
Deduct 33 from 40 and we're left 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.

Moving on to step 7:
If we divide 70 by 11, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 2851.36
Subtracting 66 from 70 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.

Let's proceed to step 8:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 2851.363
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.

Moving on to step 9:
If we divide 70 by 11, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 2851.3636
Subtracting 66 from 70 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.

Advancing to step 10:
11 goes into 40 3 times with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 2851.36363
Deduct 33 from 40 and we're left 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 11:
70 divided by 11 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 2851.363636
Deduct 66 from 70 and we're left 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.

Step 12:
40 divided by 11 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 2851.3636363
If we take 33 away from 40, we end up 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.

Step 13:
If we divide 70 by 11, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 2851.36363636
Subtracting 66 from 70 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.

Our division results in 2851.36363636 with a remaining 4e-09.