624673 ÷ 13 
We're looking to find how many times 13 goes into 624673.

Going ahead to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 13

Advancing to step 2:
13 can be fit into 62 4 times, resulting in a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 52 away from 62, we end up with 10.
Take the next digit (4) from the dividend and append it to 10, then repeat: 104 / 13

Moving on to step 3:
When dividing 104 by 13, we get 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 48.0
If we subtract 104 from 104, we get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 13

On to step 4:
When dividing 6 by 13, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 480.0
If we subtract 0 from 6, we get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 13

Going ahead to step 5:
67 divided by 13 is 5 with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 4805.0
If we subtract 65 from 67, we get 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 13

Step 6:
When dividing 23 by 13, we get 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 48051.0
Deduct 13 from 23 and we're left 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.

On to step 7:
100 divided by 13 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 48051.7
Deduct 91 from 100 and we're left 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.

Going ahead to step 8:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 48051.76
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
13 goes into 120 9 times with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 48051.769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 48051.7692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
When dividing 40 by 13, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 48051.76923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
10 divided by 13 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 48051.76923
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.

Going ahead to step 13:
100 divided by 13 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 48051.7692307
Deduct 91 from 100 and we're left 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.

Going ahead to step 14:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 48051.76923076
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 48051.76923076, and the remainder is 1.2e-08.