We're dividing 41094 by 13 
We're looking to find how many times 13 goes into 41094.

Going ahead to step 1:
13 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 13

On to step 2:
The number 13 fits into 41 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 2 after subtracting 39 from 41.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 13

On to step 3:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 31.0
Subtract 13 from 20 to get 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 13

Moving on to step 4:
When dividing 79 by 13, we get 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 316.0
If we take 78 away from 79, we end up with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 13

Advancing to step 5:
13 goes into 14 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 3161.0
The remainder is 1 after subtracting 13 from 14.
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 6:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 3161.0
Deduct 0 from 10 and we're left 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 7:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 3161.07
If we take 91 away from 100, 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.

On to step 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 3161.076
If we subtract 78 from 90, we 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.

Let's proceed to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 3161.0769
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 3161.07692
If we subtract 26 from 30, 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 11:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 3161.076923
Subtract 39 from 40 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.

Moving on to step 12:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 3161.076923
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.

On to step 13:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 3161.07692307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 3161.07692307 and a remainder of 9e-09.