Let's divide 108523 by 66
Our goal is to divide 108523 by 66.

Moving on to step 1:
The number 66 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 66

Going ahead to step 2:
66 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 66

On to step 3:
If we divide 108 by 66, we get 1 and a remainder of 42.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 66 from 108, we get 42.
Take the next digit (5) from the dividend and append it to 42, then repeat: 425 / 66

Moving on to step 4:
If we divide 425 by 66, we get 6 and a remainder of 29.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtracting 396 from 425 leaves us with 29.
Fetch the next digit (2) from the dividend, attach it to 29 and continue: 292 / 66

Step 5:
When dividing 292 by 66, we get 4 with a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 164.0
If we take 264 away from 292, we end up with 28.
Take the next digit (3) from the dividend and append it to 28, then repeat: 283 / 66

Moving on to step 6:
66 can be fit into 283 4 times, resulting in a remainder of 19.
Put 4 as the next digit of the answer. 
Result so far: 1644.0
Subtracting 264 from 283 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
The number 66 fits into 190 2 times, leaving a remainder of 58.
The next digit of our result is 2. 
Result so far: 1644.2
Deduct 132 from 190 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 8:
66 can be fit into 580 8 times, resulting in a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 1644.28
If we take 528 away from 580, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 9:
When dividing 520 by 66, we get 7 with a remainder of 58.
Put 7 as the next digit of the answer. 
Result so far: 1644.287
If we take 462 away from 520, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 10:
The number 66 fits into 580 8 times, leaving a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 1644.2878
If we take 528 away from 580, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 11:
66 can be fit into 520 7 times, resulting in a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 1644.28787
Subtracting 462 from 520 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 12:
580 divided by 66 is 8 with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 1644.287878
If we take 528 away from 580, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 13:
When dividing 520 by 66, we get 7 with a remainder of 58.
Record the quotient 7 as the next digit in the result. 
Result so far: 1644.2878787
Deduct 462 from 520 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 14:
580 divided by 66 is 8 with a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 1644.28787878
Deduct 528 from 580 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The quotient of the division is 1644.28787878, and the remainder is 5.2e-08.