We divide 41110 by 31
Our goal is to divide 41110 by 31.

Advancing to step 1:
The number 31 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 31

On to step 2:
When dividing 41 by 31, we get 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 31 from 41 and we're left with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 31

Step 3:
If we divide 101 by 31, we get 3 and a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 13.0
Deduct 93 from 101 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 31

Going ahead to step 4:
31 goes into 81 2 times with a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 132.0
Deduct 62 from 81 and we're left with 19.
Take the next digit (0) from the dividend and append it to 19, then repeat: 190 / 31

Moving on to step 5:
190 divided by 31 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 1326.0
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.

Moving on to step 6:
The number 31 fits into 40 1 times, leaving a remainder of 9.
The next digit of our result is 1. 
Result so far: 1326.1
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.

Advancing to step 7:
31 goes into 90 2 times with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 1326.12
Deduct 62 from 90 and we're left 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.

Let's proceed to step 8:
When dividing 280 by 31, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 1326.129
The remainder is 1 after subtracting 279 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
If we divide 10 by 31, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 1326.129
Subtracting 0 from 10 leaves us with 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 10:
If we divide 100 by 31, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 1326.12903
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.

On to step 11:
The number 31 fits into 70 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1326.129032
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.

On to step 12:
When dividing 80 by 31, we get 2 with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 1326.1290322
Subtract 62 from 80 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The quotient of the division is 1326.1290322, and the remainder is 1.8e-07.