707836 ÷ 13 
We're looking to find how many times 13 goes into 707836.

Moving on to step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 13

Let's proceed to step 2:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 65 from 70 and we're left with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 13

Step 3:
When dividing 57 by 13, we get 4 with a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
Subtract 52 from 57 to get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 13

On to step 4:
13 can be fit into 58 4 times, resulting in a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 544.0
If we take 52 away from 58, we end up with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 13

On to step 5:
13 can be fit into 63 4 times, resulting in a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 5444.0
Subtract 52 from 63 to get 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 13

Step 6:
116 divided by 13 is 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 54448.0
Subtracting 104 from 116 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 54448.9
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
30 divided by 13 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 54448.92
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 54448.923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
When dividing 10 by 13, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 54448.923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
If we divide 100 by 13, we get 7 and a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 54448.92307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 12:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 54448.923076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 54448.9230769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 14:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 54448.92307692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 54448.92307692 with a remaining 4e-09.