We divide 628974 by 13
We want to figure out the number of times 628974 can be divided by 13.

Advancing to step 1:
6 divided by 13 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 13

Moving on to step 2:
62 divided by 13 is 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 52 from 62 and we're left with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 13

Step 3:
If we divide 108 by 13, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 48.0
Deduct 104 from 108 and we're left with 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 13

Moving on to step 4:
49 divided by 13 is 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 483.0
If we take 39 away from 49, we end up with 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 13

Going ahead to step 5:
107 divided by 13 is 8 with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 4838.0
Subtracting 104 from 107 leaves us with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 13

Moving on to step 6:
The number 13 fits into 34 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 48382.0
If we take 26 away from 34, 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.

Step 7:
13 goes into 80 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 48382.6
If we subtract 78 from 80, we 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.

Advancing to step 8:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 48382.61
If we subtract 13 from 20, we 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.

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: 48382.615
The remainder is 5 after subtracting 65 from 70.
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 10:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 48382.6153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on 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: 48382.61538
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.

Step 12:
60 divided by 13 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 48382.615384
Deduct 52 from 60 and we're left 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.

Let's proceed to step 13:
80 divided by 13 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 48382.6153846
Subtracting 78 from 80 leaves us 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.

Going ahead to step 14:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 48382.61538461
If we subtract 13 from 20, we 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.

The quotient of the division is 48382.61538461, and the remainder is 7e-09.