626378 ÷ 13 
We want to figure out the number of times 626378 can be divided by 13.

Going ahead to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 13

Advancing to step 2:
13 goes into 62 4 times with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 52 from 62 leaves us with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 13

Advancing to step 3:
13 can be fit into 106 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 48.0
If we take 104 away from 106, we end up with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 13

Step 4:
23 divided by 13 is 1 with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 481.0
If we take 13 away from 23, we end up with 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 13

On to step 5:
107 divided by 13 is 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 4818.0
Subtract 104 from 107 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 13

On to step 6:
38 divided by 13 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 48182.0
If we take 26 away from 38, 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.

Advancing to step 7:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 48182.9
The remainder is 3 after subtracting 117 from 120.
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 8:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 48182.92
Subtracting 26 from 30 leaves us 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.

Moving on to step 9:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 48182.923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 48182.923
Deduct 0 from 10 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.

Advancing to step 11:
13 goes into 100 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 48182.92307
Subtracting 91 from 100 leaves us 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 12:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 48182.923076
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 13:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 48182.9230769
The remainder is 3 after subtracting 117 from 120.
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 14:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 48182.92307692
If we take 26 away from 30, we end up 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.

In conclusion, the division gives 48182.92307692 with a balance of 4e-09.