81109 ÷ 31 
We want to divide 81109 by 31.

On to step 1:
31 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 31

Advancing to step 2:
When dividing 81 by 31, we get 2 with a remainder of 19.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 62 away from 81, we end up with 19.
Append the next digit (1) from the dividend to 19 and continue with: 191 / 31

Moving on to step 3:
31 can be fit into 191 6 times, resulting in a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Subtracting 186 from 191 leaves us with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 31

Let's proceed to step 4:
50 divided by 31 is 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 261.0
If we take 31 away from 50, we end up with 19.
Include the next digit (9) from the dividend after 19, then repeat: 199 / 31

On to step 5:
31 can be fit into 199 6 times, resulting in a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 2616.0
If we subtract 186 from 199, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 6:
31 goes into 130 4 times with a remainder of 6.
The next digit of our result is 4. 
Result so far: 2616.4
Subtract 124 from 130 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
The number 31 fits into 60 1 times, leaving a remainder of 29.
The next digit of our result is 1. 
Result so far: 2616.41
If we take 31 away from 60, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 8:
If we divide 290 by 31, we get 9 and a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 2616.419
Subtract 279 from 290 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
When dividing 110 by 31, we get 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 2616.4193
Deduct 93 from 110 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 10:
The number 31 fits into 170 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 2616.41935
If we take 155 away from 170, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 11:
31 can be fit into 150 4 times, resulting in a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 2616.419354
If we take 124 away from 150, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 12:
When dividing 260 by 31, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 2616.4193548
Subtract 248 from 260 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
31 goes into 120 3 times with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 2616.41935483
The remainder is 27 after subtracting 93 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The final result is 2616.41935483 with a remainder of 2.7e-08.