We're dividing 72626 by 13 
Our goal is to divide 72626 by 13.

On to step 1:
13 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (2) from the dividend after 7, then repeat: 72 / 13

Going ahead to step 2:
13 can be fit into 72 5 times, resulting in a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 65 from 72 leaves us with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 13

Let's proceed to step 3:
76 divided by 13 is 5 with a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 55.0
If we take 65 away from 76, we end up with 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 13

Going ahead to step 4:
13 goes into 112 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 558.0
The remainder is 8 after subtracting 104 from 112.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 13

Going ahead to step 5:
The number 13 fits into 86 6 times, leaving a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 5586.0
Subtract 78 from 86 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 6:
When dividing 80 by 13, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 5586.6
Subtracting 78 from 80 leaves us 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.

Step 7:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 5586.61
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 8:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5586.615
Subtract 65 from 70 to get 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 9:
50 divided by 13 is 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 5586.6153
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 10:
110 divided by 13 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 5586.61538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 5586.615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 12:
When dividing 80 by 13, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 5586.6153846
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 5586.61538461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 5586.61538461 with a balance of 7e-09.