We look at the division of 114524 by 9 
We want to figure out the number of times 114524 can be divided by 9.

Moving on to step 1:
The number 9 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.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 9

Let's proceed to step 2:
When dividing 11 by 9, we get 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 9 from 11 to get 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 9

Let's proceed to step 3:
The number 9 fits into 24 2 times, leaving a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 18 from 24, we get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 9

Moving on to step 4:
9 can be fit into 65 7 times, resulting in a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 127.0
The remainder is 2 after subtracting 63 from 65.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 9

Going ahead to step 5:
If we divide 22 by 9, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 1272.0
Subtract 18 from 22 to get 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 9

Let's proceed to step 6:
If we divide 44 by 9, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 12724.0
Subtract 36 from 44 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:
9 goes into 80 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 12724.8
If we take 72 away from 80, 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.

Let's proceed to step 8:
9 can be fit into 80 8 times, resulting in a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 12724.88
Deduct 72 from 80 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.

The quotient of the division is 12724.88, and the remainder is 0.008.