18108818 ÷ 525 
We want to figure out the number of times 18108818 can be divided by 525.

Moving on to step 1:
1 divided by 525 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 525

On to step 2:
If we divide 18 by 525, we get 0 and a remainder of 18.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 18 to get 18.
Bring next digit (1) of the dividend behind the 18 and repeat the process: 181 / 525

Going ahead to step 3:
When dividing 181 by 525, we get 0 with a remainder of 181.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 181 to get 181.
Include the next digit (0) from the dividend after 181, then repeat: 1810 / 525

Step 4:
525 can be fit into 1810 3 times, resulting in a remainder of 235.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 1575 from 1810 and we're left with 235.
Take the next digit (8) from the dividend and append it to 235, then repeat: 2358 / 525

On to step 5:
525 goes into 2358 4 times with a remainder of 258.
Write down 4 as next digit of the result. 
Result so far: 34.0
If we subtract 2100 from 2358, we get 258.
Fetch the next digit (8) from the dividend, attach it to 258 and continue: 2588 / 525

Moving on to step 6:
When dividing 2588 by 525, we get 4 with a remainder of 488.
Use 4 as the next digit of our solution. 
Result so far: 344.0
If we subtract 2100 from 2588, we get 488.
Append the next digit (1) from the dividend to 488 and continue with: 4881 / 525

Let's proceed to step 7:
4881 divided by 525 is 9 with a remainder of 156.
The number 9 becomes the next digit in our result. 
Result so far: 3449.0
If we take 4725 away from 4881, we end up with 156.
Include the next digit (8) from the dividend after 156, then repeat: 1568 / 525

Going ahead to step 8:
525 can be fit into 1568 2 times, resulting in a remainder of 518.
Record the quotient 2 as the next digit in the result. 
Result so far: 34492.0
If we take 1050 away from 1568, we end up with 518.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5180, and continue the process.

Advancing to step 9:
525 goes into 5180 9 times with a remainder of 455.
Write down 9 as next digit of the result. 
Result so far: 34492.9
If we take 4725 away from 5180, we end up with 455.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4550, and continue the process.

Going ahead to step 10:
525 can be fit into 4550 8 times, resulting in a remainder of 350.
Put 8 as the next digit of the answer. 
Result so far: 34492.98
The remainder is 350 after subtracting 4200 from 4550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

Let's proceed to step 11:
3500 divided by 525 is 6 with a remainder of 350.
Use 6 as the next digit of our solution. 
Result so far: 34492.986
Subtracting 3150 from 3500 leaves us with 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

On to step 12:
525 can be fit into 3500 6 times, resulting in a remainder of 350.
The number 6 becomes the next digit in our result. 
Result so far: 34492.9866
Subtracting 3150 from 3500 leaves us with 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

The quotient of the division is 34492.9866, and the remainder is 0.0035.