We're dividing 465043 by 13 
We're looking to find how many times 13 goes into 465043.

Advancing to step 1:
If we divide 4 by 13, we get 0 and 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.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 13

Step 2:
The number 13 fits into 46 3 times, leaving a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 39 from 46, we get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 13

Advancing to step 3:
If we divide 75 by 13, we get 5 and a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 35.0
The remainder is 10 after subtracting 65 from 75.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 13

Let's proceed to step 4:
If we divide 100 by 13, we get 7 and a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 357.0
Deduct 91 from 100 and we're left with 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 13

Moving on to step 5:
94 divided by 13 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 3577.0
If we subtract 91 from 94, we get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 13

Moving on to step 6:
If we divide 33 by 13, we get 2 and a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 35772.0
Subtract 26 from 33 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.

Let's proceed to step 7:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 35772.5
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
50 divided by 13 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 35772.53
Deduct 39 from 50 and we're left 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 9:
If we divide 110 by 13, we get 8 and a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 35772.538
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 10:
60 divided by 13 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 35772.5384
Deduct 52 from 60 and we're left 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.

Advancing to step 11:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 35772.53846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
If we divide 20 by 13, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 35772.538461
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.

Moving on to step 13:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 35772.5384615
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.

Step 14:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 35772.53846153
If we subtract 39 from 50, we get 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 35772.53846153, with a leftover of 1.1e-08.