We look at the division of 381569 by 66 
Our goal is to divide 381569 by 66.

Let's proceed to step 1:
66 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 66

Step 2:
If we divide 38 by 66, we get 0 and a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 38 to get 38.
Include the next digit (1) from the dividend after 38, then repeat: 381 / 66

Going ahead to step 3:
66 can be fit into 381 5 times, resulting in a remainder of 51.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 330 from 381 and we're left with 51.
Grab the next digit (5) from the dividend, add it to 51, then carry on: 515 / 66

Step 4:
When dividing 515 by 66, we get 7 with a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 57.0
The remainder is 53 after subtracting 462 from 515.
Take the next digit (6) from the dividend and append it to 53, then repeat: 536 / 66

Let's proceed to step 5:
66 can be fit into 536 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 578.0
Subtract 528 from 536 to get 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 66

Let's proceed to step 6:
89 divided by 66 is 1 with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 5781.0
If we subtract 66 from 89, we get 23.
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:
When dividing 230 by 66, we get 3 with a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 5781.3
The remainder is 32 after subtracting 198 from 230.
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 8:
If we divide 320 by 66, we get 4 and a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 5781.34
The remainder is 56 after subtracting 264 from 320.
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:
66 goes into 560 8 times with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 5781.348
If we subtract 528 from 560, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 10:
The number 66 fits into 320 4 times, leaving a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 5781.3484
Subtract 264 from 320 to get 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 11:
The number 66 fits into 560 8 times, leaving a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 5781.34848
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.

On to step 12:
66 goes into 320 4 times with a remainder of 56.
The next digit of our result is 4. 
Result so far: 5781.348484
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 13:
The number 66 fits into 560 8 times, leaving a remainder of 32.
The next digit of our result is 8. 
Result so far: 5781.3484848
Subtracting 528 from 560 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.

Step 14:
320 divided by 66 is 4 with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 5781.34848484
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 5781.34848484 and a remainder of 5.6e-08.