We look at the division of 8668219 by 523 
Our goal is to divide 8668219 by 523.

Let's proceed to step 1:
8 divided by 523 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 523

Let's proceed to step 2:
When dividing 86 by 523, we get 0 with a remainder of 86.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 86 and we're left with 86.
Bring next digit (6) of the dividend behind the 86 and repeat the process: 866 / 523

On to step 3:
866 divided by 523 is 1 with a remainder of 343.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 523 from 866 and we're left with 343.
Take the next digit (8) from the dividend and append it to 343, then repeat: 3438 / 523

Advancing to step 4:
The number 523 fits into 3438 6 times, leaving a remainder of 300.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we take 3138 away from 3438, we end up with 300.
Take the next digit (2) from the dividend and append it to 300, then repeat: 3002 / 523

Step 5:
The number 523 fits into 3002 5 times, leaving a remainder of 387.
Record the quotient 5 as the next digit in the result. 
Result so far: 165.0
If we subtract 2615 from 3002, we get 387.
Take the next digit (1) from the dividend and append it to 387, then repeat: 3871 / 523

On to step 6:
The number 523 fits into 3871 7 times, leaving a remainder of 210.
The number 7 becomes the next digit in our result. 
Result so far: 1657.0
Deduct 3661 from 3871 and we're left with 210.
Include the next digit (9) from the dividend after 210, then repeat: 2109 / 523

Let's proceed to step 7:
If we divide 2109 by 523, we get 4 and a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 16574.0
Deduct 2092 from 2109 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 8:
If we divide 170 by 523, we get 0 and a remainder of 170.
Put 0 as the next digit of the answer. 
Result so far: 16574.0
Deduct 0 from 170 and we're left with 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Moving on to step 9:
523 goes into 1700 3 times with a remainder of 131.
The next digit of our result is 3. 
Result so far: 16574.03
Subtracting 1569 from 1700 leaves us with 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

Going ahead to step 10:
1310 divided by 523 is 2 with a remainder of 264.
Record the quotient 2 as the next digit in the result. 
Result so far: 16574.032
Deduct 1046 from 1310 and we're left with 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Going ahead to step 11:
When dividing 2640 by 523, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 16574.0325
The remainder is 25 after subtracting 2615 from 2640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 12:
If we divide 250 by 523, we get 0 and a remainder of 250.
Record the quotient 0 as the next digit in the result. 
Result so far: 16574.0325
Subtracting 0 from 250 leaves us with 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2500, and continue the process.

Going ahead to step 13:
523 can be fit into 2500 4 times, resulting in a remainder of 408.
Record the quotient 4 as the next digit in the result. 
Result so far: 16574.032504
Subtract 2092 from 2500 to get 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Moving on to step 14:
The number 523 fits into 4080 7 times, leaving a remainder of 419.
Record the quotient 7 as the next digit in the result. 
Result so far: 16574.0325047
If we subtract 3661 from 4080, we get 419.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4190, and continue the process.

Advancing to step 15:
If we divide 4190 by 523, we get 8 and a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 16574.03250478
Deduct 4184 from 4190 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 16574.03250478 and a remainder of 6e-09.