Let's divide 465043 by 13
We want to figure out the number of times 465043 can be divided by 13.

Step 1:
4 divided by 13 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 13

On to step 2:
If we divide 46 by 13, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 7 after subtracting 39 from 46.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 13

Moving on to step 3:
The number 13 fits into 75 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
If we take 65 away from 75, we end up with 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 13

Advancing to step 4:
If we divide 100 by 13, we get 7 and a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 357.0
The remainder is 9 after subtracting 91 from 100.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 13

On to step 5:
If we divide 94 by 13, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 3577.0
Deduct 91 from 94 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 13

Advancing to step 6:
The number 13 fits into 33 2 times, leaving a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 35772.0
The remainder is 7 after subtracting 26 from 33.
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 7:
70 divided by 13 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 35772.5
Deduct 65 from 70 and we're left 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.

Advancing to step 8:
If we divide 50 by 13, we get 3 and a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 35772.53
If we take 39 away from 50, we end up 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.

Step 9:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 35772.538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 10:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 35772.5384
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.

Advancing to step 11:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 35772.53846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 12:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 35772.538461
If we take 13 away from 20, 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.

Moving on to step 13:
13 goes into 70 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 35772.5384615
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.

Advancing to step 14:
50 divided by 13 is 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 35772.53846153
The remainder is 11 after subtracting 39 from 50.
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 result is 35772.53846153 with a remainder of 1.1e-08.