519641 ÷ 66 
Our goal is to divide 519641 by 66.

Step 1:
66 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 66

Going ahead to step 2:
If we divide 51 by 66, we get 0 and a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Fetch the next digit (9) from the dividend, attach it to 51 and continue: 519 / 66

Let's proceed to step 3:
66 goes into 519 7 times with a remainder of 57.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 462 from 519 to get 57.
Include the next digit (6) from the dividend after 57, then repeat: 576 / 66

On to step 4:
66 goes into 576 8 times with a remainder of 48.
Write down 8 as next digit of the result. 
Result so far: 78.0
If we subtract 528 from 576, we get 48.
Fetch the next digit (4) from the dividend, attach it to 48 and continue: 484 / 66

Advancing to step 5:
If we divide 484 by 66, we get 7 and a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 787.0
Deduct 462 from 484 and we're left with 22.
Take the next digit (1) from the dividend and append it to 22, then repeat: 221 / 66

Let's proceed to step 6:
If we divide 221 by 66, we get 3 and a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 7873.0
The remainder is 23 after subtracting 198 from 221.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 7:
If we divide 230 by 66, we get 3 and a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 7873.3
Subtracting 198 from 230 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 8:
66 goes into 320 4 times with a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 7873.34
Deduct 264 from 320 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 9:
When dividing 560 by 66, we get 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 7873.348
The remainder is 32 after subtracting 528 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
320 divided by 66 is 4 with a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 7873.3484
If we take 264 away from 320, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 11:
If we divide 560 by 66, we get 8 and a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 7873.34848
Deduct 528 from 560 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 12:
The number 66 fits into 320 4 times, leaving a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 7873.348484
If we take 264 away from 320, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 13:
If we divide 560 by 66, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 7873.3484848
If we take 528 away from 560, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 14:
If we divide 320 by 66, we get 4 and a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 7873.34848484
Deduct 264 from 320 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

After the division, we end up with 7873.34848484 and a remainder of 5.6e-08.