503441 ÷ 66 
Our goal is to divide 503441 by 66.

Let's proceed to step 1:
66 goes into 5 0 times 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.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 66

Going ahead to step 2:
When dividing 50 by 66, we get 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Include the next digit (3) from the dividend after 50, then repeat: 503 / 66

Moving on to step 3:
66 can be fit into 503 7 times, resulting in a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 462 from 503 leaves us with 41.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 66

Moving on to step 4:
66 can be fit into 414 6 times, resulting in a remainder of 18.
The next digit of our result is 6. 
Result so far: 76.0
If we subtract 396 from 414, we get 18.
Grab the next digit (4) from the dividend, add it to 18, then carry on: 184 / 66

Step 5:
When dividing 184 by 66, we get 2 with a remainder of 52.
Use 2 as the next digit of our solution. 
Result so far: 762.0
If we take 132 away from 184, we end up with 52.
Grab the next digit (1) from the dividend, add it to 52, then carry on: 521 / 66

Going ahead to step 6:
When dividing 521 by 66, we get 7 with a remainder of 59.
The next digit of our result is 7. 
Result so far: 7627.0
The remainder is 59 after subtracting 462 from 521.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 7:
590 divided by 66 is 8 with a remainder of 62.
Use 8 as the next digit of our solution. 
Result so far: 7627.8
Subtract 528 from 590 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 8:
If we divide 620 by 66, we get 9 and a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 7627.89
If we take 594 away from 620, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 9:
66 can be fit into 260 3 times, resulting in a remainder of 62.
Put 3 as the next digit of the answer. 
Result so far: 7627.893
Subtracting 198 from 260 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 10:
When dividing 620 by 66, we get 9 with a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 7627.8939
Subtract 594 from 620 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
If we divide 260 by 66, we get 3 and a remainder of 62.
The number 3 becomes the next digit in our result. 
Result so far: 7627.89393
If we subtract 198 from 260, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 12:
66 can be fit into 620 9 times, resulting in a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 7627.893939
Subtract 594 from 620 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 13:
The number 66 fits into 260 3 times, leaving a remainder of 62.
Write down 3 as next digit of the result. 
Result so far: 7627.8939393
Subtracting 198 from 260 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 14:
If we divide 620 by 66, we get 9 and a remainder of 26.
Put 9 as the next digit of the answer. 
Result so far: 7627.89393939
If we take 594 away from 620, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 7627.89393939 with a balance of 2.6e-08.