We look at the division of 497509 by 66 
Let's see how many times 66 fits into 497509.

Let's proceed to step 1:
If we divide 4 by 66, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 66

Moving on to step 2:
49 divided by 66 is 0 with a remainder of 49.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 49 and we're left with 49.
Bring next digit (7) of the dividend behind the 49 and repeat the process: 497 / 66

On to step 3:
66 can be fit into 497 7 times, resulting in a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtract 462 from 497 to get 35.
Grab the next digit (5) from the dividend, add it to 35, then carry on: 355 / 66

Advancing to step 4:
66 goes into 355 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 75.0
If we subtract 330 from 355, we get 25.
Include the next digit (0) from the dividend after 25, then repeat: 250 / 66

On to step 5:
The number 66 fits into 250 3 times, leaving a remainder of 52.
Use 3 as the next digit of our solution. 
Result so far: 753.0
If we take 198 away from 250, we end up with 52.
Fetch the next digit (9) from the dividend, attach it to 52 and continue: 529 / 66

On to step 6:
If we divide 529 by 66, we get 8 and a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 7538.0
Deduct 528 from 529 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
10 divided by 66 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 7538.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
The number 66 fits into 100 1 times, leaving a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 7538.01
If we take 66 away from 100, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 9:
340 divided by 66 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 7538.015
The remainder is 10 after subtracting 330 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
When dividing 100 by 66, we get 1 with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 7538.0151
Subtract 66 from 100 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 11:
If we divide 340 by 66, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 7538.01515
If we take 330 away from 340, we end up 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.

Let's proceed to step 12:
66 can be fit into 100 1 times, resulting in a remainder of 34.
The next digit of our result is 1. 
Result so far: 7538.015151
The remainder is 34 after subtracting 66 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 13:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 7538.0151515
Deduct 330 from 340 and we're left 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.

Going ahead to step 14:
The number 66 fits into 100 1 times, leaving a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 7538.01515151
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 7538.01515151 and a remainder of 3.4e-08.