We're dividing 16034 by 13 
Let's see how many times 13 fits into 16034.

Going ahead to step 1:
13 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 13

Let's proceed to step 2:
13 can be fit into 16 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 13 from 16 to get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 13

Going ahead to step 3:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 12.0
If we take 26 away from 30, we end up with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 13

Advancing to step 4:
The number 13 fits into 43 3 times, leaving a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 123.0
Deduct 39 from 43 and we're left with 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 13

Advancing to step 5:
13 goes into 44 3 times with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 1233.0
Subtracting 39 from 44 leaves us 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.

Let's proceed to step 6:
If we divide 50 by 13, we get 3 and a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 1233.3
Subtract 39 from 50 to get 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 7:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 1233.38
If we subtract 104 from 110, we 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.

Advancing to step 8:
60 divided by 13 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 1233.384
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.

Let's proceed to step 9:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 1233.3846
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.

Let's proceed to step 10:
If we divide 20 by 13, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1233.38461
If we subtract 13 from 20, we get 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 11:
If we divide 70 by 13, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 1233.384615
If we take 65 away from 70, we end up 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.

Going ahead to step 12:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 1233.3846153
Subtracting 39 from 50 leaves us 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.

Advancing to step 13:
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: 1233.38461538
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.

The final outcome is 1233.38461538, with a leftover of 6e-09.