108581 ÷ 31 
We want to divide 108581 by 31.

On to step 1:
If we divide 1 by 31, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 31

Step 2:
31 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 31

Step 3:
If we divide 108 by 31, we get 3 and a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 93 from 108 and we're left with 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 31

Going ahead to step 4:
155 divided by 31 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 35.0
Deduct 155 from 155 and we're left with 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 31

Let's proceed to step 5:
31 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 350.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 31

Let's proceed to step 6:
31 can be fit into 81 2 times, resulting in a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 3502.0
Subtract 62 from 81 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
31 goes into 190 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 3502.6
If we subtract 186 from 190, 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.

Moving on to step 8:
If we divide 40 by 31, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 3502.61
Subtracting 31 from 40 leaves us 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.

Step 9:
When dividing 90 by 31, we get 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 3502.612
If we take 62 away from 90, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 10:
31 can be fit into 280 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 3502.6129
Deduct 279 from 280 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 11:
When dividing 10 by 31, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 3502.6129
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
31 goes into 100 3 times with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 3502.612903
Subtracting 93 from 100 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.

Step 13:
70 divided by 31 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 3502.6129032
Subtracting 62 from 70 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 14:
If we divide 80 by 31, we get 2 and a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 3502.61290322
Subtracting 62 from 80 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 3502.61290322 and a remainder of 1.8e-08.