44155 ÷ 13 
We want to figure out the number of times 44155 can be divided by 13.

Let's proceed to step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 13

Let's proceed to step 2:
If we divide 44 by 13, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 39 from 44, we get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 13

Moving on to step 3:
When dividing 51 by 13, we get 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Subtract 39 from 51 to get 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 13

Advancing to step 4:
If we divide 125 by 13, we get 9 and a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 339.0
Subtracting 117 from 125 leaves us with 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 13

On to step 5:
13 goes into 85 6 times with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 3396.0
If we take 78 away from 85, we end up 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 6:
When dividing 70 by 13, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 3396.5
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 3396.53
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
13 goes into 110 8 times with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 3396.538
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 3396.5384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
80 divided by 13 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 3396.53846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 3396.538461
Subtract 13 from 20 to 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.

Advancing to step 12:
70 divided by 13 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 3396.5384615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
13 goes into 50 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 3396.53846153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final outcome is 3396.53846153, with a leftover of 1.1e-08.