81580 ÷ 31 
We're looking to find how many times 31 goes into 81580.

Moving on to step 1:
If we divide 8 by 31, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 31

Let's proceed to step 2:
81 divided by 31 is 2 with a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 62 from 81 leaves us with 19.
Grab the next digit (5) from the dividend, add it to 19, then carry on: 195 / 31

Going ahead to step 3:
31 can be fit into 195 6 times, resulting in a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Subtract 186 from 195 to get 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 31

Advancing to step 4:
If we divide 98 by 31, we get 3 and a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 263.0
Subtracting 93 from 98 leaves us with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 31

On to step 5:
The number 31 fits into 50 1 times, leaving a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 2631.0
If we take 31 away from 50, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 6:
When dividing 190 by 31, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 2631.6
Subtract 186 from 190 to 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.

Let's proceed to step 7:
31 goes into 40 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 2631.61
If we take 31 away from 40, we end up 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.

Moving on to step 8:
90 divided by 31 is 2 with a remainder of 28.
The next digit of our result is 2. 
Result so far: 2631.612
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.

Going ahead to step 9:
If we divide 280 by 31, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 2631.6129
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.

On to step 10:
When dividing 10 by 31, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 2631.6129
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.

Advancing to step 11:
31 goes into 100 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 2631.612903
If we subtract 93 from 100, 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.

Let's proceed to step 12:
If we divide 70 by 31, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 2631.6129032
If we take 62 away from 70, we end up 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 13:
31 can be fit into 80 2 times, resulting in a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 2631.61290322
The remainder is 18 after subtracting 62 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 2631.61290322 with a balance of 1.8e-08.