We're dividing 72071 by 13 
We want to divide 72071 by 13.

Advancing to step 1:
13 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 13

Advancing to step 2:
13 goes into 72 5 times with a remainder of 7.
The next digit of our result is 5. 
Result so far: 5.0
If we take 65 away from 72, we end up with 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 13

Moving on to step 3:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 55.0
If we take 65 away from 70, we end up with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 13

Going ahead to step 4:
If we divide 57 by 13, we get 4 and a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 554.0
The remainder is 5 after subtracting 52 from 57.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 13

Moving on to step 5:
13 can be fit into 51 3 times, resulting in a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 5543.0
If we take 39 away from 51, 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 6:
When dividing 120 by 13, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 5543.9
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.

Step 7:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 5543.92
If we take 26 away from 30, we end up 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 8:
13 goes into 40 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 5543.923
If we subtract 39 from 40, we get 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 9:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 5543.923
The remainder is 10 after subtracting 0 from 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 10:
When dividing 100 by 13, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 5543.92307
Deduct 91 from 100 and we're left 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.

Advancing to step 11:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 5543.923076
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.

On to step 12:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 5543.9230769
If we take 117 away from 120, we end up 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.

Step 13:
13 goes into 30 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 5543.92307692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 5543.92307692 and a remainder of 4e-09.