508344 divided by 66 
We want to divide 508344 by 66.

Step 1:
When dividing 5 by 66, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 66

Going ahead to step 2:
If we divide 50 by 66, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Include the next digit (8) from the dividend after 50, then repeat: 508 / 66

Advancing to step 3:
508 divided by 66 is 7 with a remainder of 46.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 462 from 508 to get 46.
Fetch the next digit (3) from the dividend, attach it to 46 and continue: 463 / 66

Moving on to step 4:
66 goes into 463 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 77.0
Subtracting 462 from 463 leaves us with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 66

Let's proceed to step 5:
The number 66 fits into 14 0 times, leaving a remainder of 14.
The next digit of our result is 0. 
Result so far: 770.0
If we subtract 0 from 14, we get 14.
Include the next digit (4) from the dividend after 14, then repeat: 144 / 66

Let's proceed to step 6:
144 divided by 66 is 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 7702.0
The remainder is 12 after subtracting 132 from 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
When dividing 120 by 66, we get 1 with a remainder of 54.
The next digit of our result is 1. 
Result so far: 7702.1
If we subtract 66 from 120, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 8:
When dividing 540 by 66, we get 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 7702.18
Deduct 528 from 540 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
When dividing 120 by 66, we get 1 with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 7702.181
Subtracting 66 from 120 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 10:
The number 66 fits into 540 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 7702.1818
Subtracting 528 from 540 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
When dividing 120 by 66, we get 1 with a remainder of 54.
Record the quotient 1 as the next digit in the result. 
Result so far: 7702.18181
Deduct 66 from 120 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 12:
When dividing 540 by 66, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 7702.181818
The remainder is 12 after subtracting 528 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
When dividing 120 by 66, we get 1 with a remainder of 54.
The next digit of our result is 1. 
Result so far: 7702.1818181
The remainder is 54 after subtracting 66 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 14:
66 can be fit into 540 8 times, resulting in a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 7702.18181818
Deduct 528 from 540 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 7702.18181818, with a leftover of 1.2e-08.