Let's divide 15134 by 11
We want to figure out the number of times 15134 can be divided by 11.

On to step 1:
11 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 11

Advancing to step 2:
When dividing 15 by 11, we get 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 11 from 15 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 11

Moving on to step 3:
41 divided by 11 is 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtracting 33 from 41 leaves us with 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 11

Moving on to step 4:
83 divided by 11 is 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 137.0
Deduct 77 from 83 and we're left with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 11

Going ahead to step 5:
11 can be fit into 64 5 times, resulting in a remainder of 9.
The next digit of our result is 5. 
Result so far: 1375.0
If we subtract 55 from 64, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 6:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 1375.8
The remainder is 2 after subtracting 88 from 90.
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 7:
11 goes into 20 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1375.81
If we take 11 away from 20, we end up 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 8:
90 divided by 11 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 1375.818
If we take 88 away from 90, we end up 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.

Going ahead to step 9:
If we divide 20 by 11, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1375.8181
If we subtract 11 from 20, we get 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 10:
90 divided by 11 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 1375.81818
If we subtract 88 from 90, 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.

Moving on to step 11:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1375.818181
Subtracting 11 from 20 leaves us 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.

Going ahead to step 12:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 1375.8181818
Subtracting 88 from 90 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.

On to step 13:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1375.81818181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 1375.81818181 and a remainder of 9e-09.