We're dividing 181616 by 13 
Let's see how many times 13 fits into 181616.

On to step 1:
The number 13 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 13

Step 2:
If we divide 18 by 13, we get 1 and a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 13 away from 18, we end up with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 13

Moving on to step 3:
If we divide 51 by 13, we get 3 and a remainder of 12.
The next digit of our result is 3. 
Result so far: 13.0
If we take 39 away from 51, we end up with 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 13

Advancing to step 4:
13 goes into 126 9 times with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 139.0
Deduct 117 from 126 and we're left with 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 13

Moving on to step 5:
The number 13 fits into 91 7 times, leaving a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 1397.0
Subtract 91 from 91 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 13

Let's proceed to step 6:
If we divide 6 by 13, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 13970.0
Subtract 0 from 6 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.

Moving on to step 7:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 13970.4
If we take 52 away from 60, we end up with 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 8:
80 divided by 13 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 13970.46
If we subtract 78 from 80, we 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.

Let's proceed to step 9:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 13970.461
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.

Step 10:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 13970.4615
The remainder is 5 after subtracting 65 from 70.
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 11:
13 goes into 50 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 13970.46153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 12:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 13970.461538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 13970.4615384
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 14:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 13970.46153846
The remainder is 2 after subtracting 78 from 80.
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 result is 13970.46153846 with a remainder of 2e-09.