Let's divide 603278 by 13
Our goal is to divide 603278 by 13.

Advancing to step 1:
The number 13 fits into 6 0 times, leaving 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 (0) from the dividend, add it to 6, then carry on: 60 / 13

Moving on to step 2:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 8 after subtracting 52 from 60.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 13

Going ahead to step 3:
If we divide 83 by 13, we get 6 and a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 46.0
If we subtract 78 from 83, we get 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 13

Moving on to step 4:
If we divide 52 by 13, we get 4 and a remainder of 0.
The next digit of our result is 4. 
Result so far: 464.0
Subtract 52 from 52 to get 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 13

Let's proceed to step 5:
13 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 4640.0
If we subtract 0 from 7, we get 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 13

Let's proceed to step 6:
78 divided by 13 is 6 with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 46406.0
Subtracting 78 from 78 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
If we divide 0 by 13, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 46406.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
The number 13 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 46406.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 46406.0 and a remainder of 0.0.