We're dividing 450210 by 13 
Our goal is to divide 450210 by 13.

On to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 13

On to step 2:
When dividing 45 by 13, we get 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 39 from 45 to get 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 13

Step 3:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
The remainder is 8 after subtracting 52 from 60.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 13

Moving on to step 4:
82 divided by 13 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 346.0
Subtracting 78 from 82 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 13

Moving on to step 5:
13 can be fit into 41 3 times, resulting in a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 3463.0
Subtract 39 from 41 to get 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 13

Going ahead to step 6:
13 goes into 20 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 34631.0
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.

Going ahead to step 7:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 34631.5
Subtract 65 from 70 to get 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 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 34631.53
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.
Use 8 as the next digit of our solution. 
Result so far: 34631.538
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.

Step 10:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 34631.5384
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.

Step 11:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 34631.53846
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.

Let's proceed to step 12:
If we divide 20 by 13, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 34631.538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
13 goes into 70 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 34631.5384615
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 14:
13 goes into 50 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 34631.53846153
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.

In conclusion, the division gives 34631.53846153 with a balance of 1.1e-08.