Let's divide 453630 by 13
Our goal is to divide 453630 by 13.

Advancing to step 1:
13 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 13

Let's proceed to step 2:
When dividing 45 by 13, we get 3 with a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 6 after subtracting 39 from 45.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 13

On to step 3:
13 goes into 63 4 times with a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 34.0
Subtract 52 from 63 to get 11.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 13

Step 4:
If we divide 116 by 13, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 348.0
If we take 104 away from 116, we end up with 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 13

Going ahead to step 5:
The number 13 fits into 123 9 times, leaving a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 3489.0
Subtract 117 from 123 to get 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 13

Let's proceed to step 6:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 34894.0
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 7:
13 goes into 80 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 34894.6
Subtract 78 from 80 to 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.

Going ahead to step 8:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 34894.61
Subtracting 13 from 20 leaves us 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.

On to step 9:
70 divided by 13 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 34894.615
If we subtract 65 from 70, we 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.

Going ahead to step 10:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 34894.6153
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.

Going ahead to step 11:
If we divide 110 by 13, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 34894.61538
Subtract 104 from 110 to 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 12:
60 divided by 13 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 34894.615384
If we subtract 52 from 60, we get 8.
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 13:
13 goes into 80 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 34894.6153846
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.

Step 14:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 34894.61538461
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.

After the division, we end up with 34894.61538461 and a remainder of 7e-09.