We look at the division of 497142 by 66 
We want to figure out the number of times 497142 can be divided by 66.

Going ahead to step 1:
When dividing 4 by 66, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 66

On to step 2:
When dividing 49 by 66, we get 0 with a remainder of 49.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 49, we end up with 49.
Include the next digit (7) from the dividend after 49, then repeat: 497 / 66

Going ahead to step 3:
66 can be fit into 497 7 times, resulting in a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 462 from 497 leaves us with 35.
Append the next digit (1) from the dividend to 35 and continue with: 351 / 66

Step 4:
The number 66 fits into 351 5 times, leaving a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
Deduct 330 from 351 and we're left with 21.
Append the next digit (4) from the dividend to 21 and continue with: 214 / 66

Step 5:
The number 66 fits into 214 3 times, leaving a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 753.0
The remainder is 16 after subtracting 198 from 214.
Take the next digit (2) from the dividend and append it to 16, then repeat: 162 / 66

Moving on to step 6:
If we divide 162 by 66, we get 2 and a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 7532.0
If we subtract 132 from 162, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
The number 66 fits into 300 4 times, leaving a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 7532.4
Subtracting 264 from 300 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
360 divided by 66 is 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 7532.45
Subtract 330 from 360 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
66 goes into 300 4 times with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 7532.454
Subtract 264 from 300 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
The number 66 fits into 360 5 times, leaving a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 7532.4545
Deduct 330 from 360 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 11:
300 divided by 66 is 4 with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 7532.45454
The remainder is 36 after subtracting 264 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 12:
If we divide 360 by 66, we get 5 and a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 7532.454545
Subtracting 330 from 360 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
300 divided by 66 is 4 with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 7532.4545454
The remainder is 36 after subtracting 264 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 14:
The number 66 fits into 360 5 times, leaving a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 7532.45454545
Deduct 330 from 360 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 7532.45454545 with a balance of 3e-08.