We're dividing 602633 by 13 
We want to figure out the number of times 602633 can be divided by 13.

On 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
Deduct 0 from 6 and we're left with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 13

Advancing to step 2:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 52 away from 60, we end up with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 13

Step 3:
When dividing 82 by 13, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 46.0
Subtract 78 from 82 to get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 13

On to step 4:
The number 13 fits into 46 3 times, leaving a remainder of 7.
The next digit of our result is 3. 
Result so far: 463.0
Subtracting 39 from 46 leaves us with 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 13

On to step 5:
73 divided by 13 is 5 with a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 4635.0
If we subtract 65 from 73, we get 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 13

On to step 6:
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: 46356.0
Deduct 78 from 83 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 46356.3
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
110 divided by 13 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 46356.38
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 46356.384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 46356.3846
Deduct 78 from 80 and we're left 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.

Let's proceed to step 11:
If we divide 20 by 13, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 46356.38461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 46356.384615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 46356.3846153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 14:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 46356.38461538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 46356.38461538 with a remaining 6e-09.