506788 ÷ 66 
We want to figure out the number of times 506788 can be divided by 66.

Advancing to step 1:
The number 66 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 66

Step 2:
66 can be fit into 50 0 times, resulting in a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Fetch the next digit (6) from the dividend, attach it to 50 and continue: 506 / 66

On to step 3:
If we divide 506 by 66, we get 7 and a remainder of 44.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 462 from 506 leaves us with 44.
Bring next digit (7) of the dividend behind the 44 and repeat the process: 447 / 66

Going ahead to step 4:
When dividing 447 by 66, we get 6 with a remainder of 51.
Use 6 as the next digit of our solution. 
Result so far: 76.0
The remainder is 51 after subtracting 396 from 447.
Take the next digit (8) from the dividend and append it to 51, then repeat: 518 / 66

Let's proceed to step 5:
The number 66 fits into 518 7 times, leaving a remainder of 56.
Use 7 as the next digit of our solution. 
Result so far: 767.0
The remainder is 56 after subtracting 462 from 518.
Take the next digit (8) from the dividend and append it to 56, then repeat: 568 / 66

On to step 6:
The number 66 fits into 568 8 times, leaving a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 7678.0
If we subtract 528 from 568, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 7:
66 goes into 400 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 7678.6
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
66 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 7678.6
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
66 goes into 400 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 7678.606
Deduct 396 from 400 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
The number 66 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 7678.606
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 11:
The number 66 fits into 400 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 7678.60606
If we take 396 away from 400, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
The number 66 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 7678.60606
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 13:
When dividing 400 by 66, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 7678.6060606
Subtracting 396 from 400 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
66 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 7678.6060606
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 7678.6060606 with a balance of 4e-08.