We're dividing 10523 by 55 
Let's see how many times 55 fits into 10523.

Step 1:
55 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 55

Moving on to step 2:
10 divided by 55 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 55

Advancing to step 3:
55 can be fit into 105 1 times, resulting in a remainder of 50.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 50 after subtracting 55 from 105.
Bring next digit (2) of the dividend behind the 50 and repeat the process: 502 / 55

Moving on to step 4:
If we divide 502 by 55, we get 9 and a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
If we subtract 495 from 502, we get 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 55

Moving on to step 5:
The number 55 fits into 73 1 times, leaving a remainder of 18.
The next digit of our result is 1. 
Result so far: 191.0
If we subtract 55 from 73, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 6:
55 goes into 180 3 times with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 191.3
Deduct 165 from 180 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
55 goes into 150 2 times with a remainder of 40.
The next digit of our result is 2. 
Result so far: 191.32
Subtract 110 from 150 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
If we divide 400 by 55, we get 7 and a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 191.327
The remainder is 15 after subtracting 385 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
When dividing 150 by 55, we get 2 with a remainder of 40.
The next digit of our result is 2. 
Result so far: 191.3272
Deduct 110 from 150 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
55 can be fit into 400 7 times, resulting in a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 191.32727
Deduct 385 from 400 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 11:
55 can be fit into 150 2 times, resulting in a remainder of 40.
The next digit of our result is 2. 
Result so far: 191.327272
Subtract 110 from 150 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 12:
55 can be fit into 400 7 times, resulting in a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 191.3272727
If we take 385 away from 400, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 13:
The number 55 fits into 150 2 times, leaving a remainder of 40.
Put 2 as the next digit of the answer. 
Result so far: 191.32727272
The remainder is 40 after subtracting 110 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 191.32727272 and a remainder of 4e-08.