We're dividing 6657 by 23 
We want to figure out the number of times 6657 can be divided by 23.

Advancing to step 1:
The number 23 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 23

Advancing to step 2:
When dividing 66 by 23, we get 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 2.0
If we take 46 away from 66, we end up with 20.
Append the next digit (5) from the dividend to 20 and continue with: 205 / 23

Let's proceed to step 3:
205 divided by 23 is 8 with a remainder of 21.
Use 8 as the next digit of our solution. 
Result so far: 28.0
Deduct 184 from 205 and we're left with 21.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 23

Going ahead to step 4:
217 divided by 23 is 9 with a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 289.0
Subtracting 207 from 217 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 5:
The number 23 fits into 100 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 289.4
If we subtract 92 from 100, we 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 6:
80 divided by 23 is 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 289.43
Deduct 69 from 80 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
If we divide 110 by 23, we get 4 and a remainder of 18.
The next digit of our result is 4. 
Result so far: 289.434
The remainder is 18 after subtracting 92 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
If we divide 180 by 23, we get 7 and a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 289.4347
Deduct 161 from 180 and we're left 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.

Moving on to step 9:
If we divide 190 by 23, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 289.43478
If we take 184 away from 190, we end up 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.

Moving on to step 10:
23 goes into 60 2 times with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 289.434782
The remainder is 14 after subtracting 46 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 11:
The number 23 fits into 140 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 289.4347826
Subtracting 138 from 140 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
23 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 289.4347826
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 289.4347826, and the remainder is 2e-08.