We're dividing 756639 by 13 
Our goal is to divide 756639 by 13.

Moving on to step 1:
If we divide 7 by 13, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 13

Advancing to step 2:
75 divided by 13 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 65 from 75, we get 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 13

Advancing to step 3:
106 divided by 13 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
Deduct 104 from 106 and we're left with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 13

Advancing to step 4:
When dividing 26 by 13, we get 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 582.0
Deduct 26 from 26 and we're left with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 13

Advancing to step 5:
3 divided by 13 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 5820.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 13

Let's proceed to step 6:
13 goes into 39 3 times with a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 58203.0
If we take 39 away from 39, we end up 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:
13 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 58203.0
Subtract 0 from 0 to 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.

Advancing 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: 58203.0
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.

After the division, we end up with 58203.0 and a remainder of 0.0.