454840 ÷ 13 
Our goal is to divide 454840 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
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 13

On to step 2:
The number 13 fits into 45 3 times, leaving a remainder of 6.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 6 after subtracting 39 from 45.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 13

Let's proceed to step 3:
13 can be fit into 64 4 times, resulting in a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 34.0
If we subtract 52 from 64, we get 12.
Bring next digit (8) of the dividend behind the 12 and repeat the process: 128 / 13

Moving on to step 4:
13 goes into 128 9 times with a remainder of 11.
The next digit of our result is 9. 
Result so far: 349.0
If we subtract 117 from 128, we get 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 13

Let's proceed to step 5:
If we divide 114 by 13, we get 8 and a remainder of 10.
The next digit of our result is 8. 
Result so far: 3498.0
If we subtract 104 from 114, we get 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 13

Step 6:
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: 34987.0
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
When dividing 90 by 13, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 34987.6
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 34987.69
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
When dividing 30 by 13, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 34987.692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 34987.6923
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 11:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 34987.6923
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 34987.692307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 13:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 34987.6923076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 34987.69230769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 34987.69230769 with a remainder of 3e-09.