Let's divide 13526 by 13
Our goal is to divide 13526 by 13.

Going ahead to step 1:
13 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 13

Moving on to step 2:
The number 13 fits into 13 1 times, leaving a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 13 from 13 and we're left with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 13

Going ahead to step 3:
13 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 5 to get 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 13

On to step 4:
13 can be fit into 52 4 times, resulting in a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 104.0
If we subtract 52 from 52, we get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 13

Advancing to step 5:
13 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 1040.0
Subtracting 0 from 6 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 6:
If we divide 60 by 13, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 1040.4
Subtract 52 from 60 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 7:
If we divide 80 by 13, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 1040.46
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 8:
If we divide 20 by 13, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1040.461
Subtracting 13 from 20 leaves us 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.

On to step 9:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 1040.4615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 10:
13 goes into 50 3 times with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 1040.46153
Deduct 39 from 50 and we're left 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.

Step 11:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 1040.461538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
13 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 1040.4615384
Subtract 52 from 60 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.

Advancing to step 13:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 1040.46153846
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.

The final outcome is 1040.46153846, with a leftover of 2e-09.