114578 divided by 11 
We're looking to find how many times 11 goes into 114578.

Going ahead to step 1:
1 divided by 11 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 11

Going ahead to step 2:
11 divided by 11 is 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 11 from 11 leaves us with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 11

Advancing to step 3:
If we divide 4 by 11, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 11

Advancing to step 4:
When dividing 45 by 11, we get 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
If we subtract 44 from 45, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 11

Let's proceed to step 5:
The number 11 fits into 17 1 times, leaving a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1041.0
If we take 11 away from 17, we end up with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 11

Moving on to step 6:
11 can be fit into 68 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 10416.0
If we take 66 away from 68, 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.

Moving on to step 7:
20 divided by 11 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 10416.1
Subtract 11 from 20 to 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 8:
90 divided by 11 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 10416.18
Subtract 88 from 90 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.

Let's proceed to step 9:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 10416.181
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.

Going ahead to step 10:
If we divide 90 by 11, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 10416.1818
Subtract 88 from 90 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.

Going ahead to step 11:
11 goes into 20 1 times with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 10416.18181
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.

Going ahead to step 12:
90 divided by 11 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10416.181818
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.

Step 13:
If we divide 20 by 11, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 10416.1818181
Subtract 11 from 20 to 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 14:
90 divided by 11 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10416.18181818
Deduct 88 from 90 and we're left 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.

The quotient of the division is 10416.18181818, and the remainder is 2e-09.