702413 ÷ 13 
We want to divide 702413 by 13.

On to step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 13

Let's proceed to step 2:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 65 from 70 and we're left with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 13

Going ahead to step 3:
The number 13 fits into 52 4 times, leaving a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
Deduct 52 from 52 and we're left with 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 13

Let's proceed to step 4:
When dividing 4 by 13, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 540.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 13

Going ahead to step 5:
The number 13 fits into 41 3 times, leaving a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 5403.0
If we take 39 away from 41, we end up with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 13

Moving on to step 6:
13 can be fit into 23 1 times, resulting in a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 54031.0
If we subtract 13 from 23, we get 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 7:
If we divide 100 by 13, we get 7 and a remainder of 9.
The next digit of our result is 7. 
Result so far: 54031.7
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.

Moving on to step 8:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 54031.76
Deduct 78 from 90 and we're left 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.

Moving on to step 9:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 54031.769
Subtract 117 from 120 to 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.

Going ahead to step 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 54031.7692
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.

Moving on to step 11:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 54031.76923
If we take 39 away from 40, we end up 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.

Going ahead to step 12:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 54031.76923
Subtracting 0 from 10 leaves us 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.

Step 13:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 54031.7692307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 14:
13 goes into 90 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 54031.76923076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 54031.76923076, with a leftover of 1.2e-08.