Let's divide 41131 by 9
We want to divide 41131 by 9.

Step 1:
4 divided by 9 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 9

Advancing to step 2:
41 divided by 9 is 4 with a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 36 from 41 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 9

Going ahead to step 3:
When dividing 51 by 9, we get 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 45.0
Subtracting 45 from 51 leaves us with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 9

Advancing to step 4:
When dividing 63 by 9, we get 7 with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 457.0
If we take 63 away from 63, we end up with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 9

On to step 5:
9 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 4570.0
If we take 0 away from 1, we end up 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 6:
9 goes into 10 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 4570.1
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
If we divide 10 by 9, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 4570.11
Deduct 9 from 10 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.

The final result is 4570.11 with a remainder of 0.001.