624579 ÷ 13 
Our goal is to divide 624579 by 13.

Step 1:
6 divided by 13 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 13

Moving on to step 2:
13 goes into 62 4 times with a remainder of 10.
The next digit of our result is 4. 
Result so far: 4.0
If we take 52 away from 62, we end up with 10.
Include the next digit (4) from the dividend after 10, then repeat: 104 / 13

On to step 3:
13 can be fit into 104 8 times, resulting in a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 48.0
If we subtract 104 from 104, we get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 13

Advancing to step 4:
When dividing 5 by 13, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 480.0
If we take 0 away from 5, we end up with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 13

Let's proceed to step 5:
The number 13 fits into 57 4 times, leaving a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 4804.0
If we take 52 away from 57, we end up with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 13

Moving on to step 6:
59 divided by 13 is 4 with a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 48044.0
The remainder is 7 after subtracting 52 from 59.
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 7:
If we divide 70 by 13, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 48044.5
If we take 65 away from 70, we end up 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.

On to step 8:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 48044.53
Subtract 39 from 50 to 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.

Step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 48044.538
The remainder is 6 after subtracting 104 from 110.
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:
When dividing 60 by 13, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 48044.5384
If we take 52 away from 60, we end up 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.

On to step 11:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 48044.53846
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.

Let's proceed to step 12:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 48044.538461
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:
13 goes into 70 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 48044.5384615
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.

Let's proceed to step 14:
When dividing 50 by 13, we get 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 48044.53846153
Subtract 39 from 50 to 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.

Our division results in 48044.53846153 with a remaining 1.1e-08.