We're dividing 458601 by 13 
Let's see how many times 13 fits into 458601.

On to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 13

On to step 2:
13 can be fit into 45 3 times, resulting in a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 39 away from 45, we end up with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 13

Moving on to step 3:
68 divided by 13 is 5 with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Deduct 65 from 68 and we're left with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 13

Step 4:
The number 13 fits into 36 2 times, leaving a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 352.0
Subtract 26 from 36 to get 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 13

On to step 5:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 3527.0
Subtract 91 from 100 to get 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 13

Let's proceed to step 6:
91 divided by 13 is 7 with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 35277.0
Deduct 91 from 91 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.

Moving on to step 7:
0 divided by 13 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 35277.0
Subtracting 0 from 0 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.

Step 8:
0 divided by 13 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 35277.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 35277.0 with a remaining 0.0.