379971 ÷ 66 
Our goal is to divide 379971 by 66.

Going ahead to step 1:
3 divided by 66 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 66

Going ahead to step 2:
37 divided by 66 is 0 with a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Bring next digit (9) of the dividend behind the 37 and repeat the process: 379 / 66

Moving on to step 3:
379 divided by 66 is 5 with a remainder of 49.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 330 from 379, we get 49.
Grab the next digit (9) from the dividend, add it to 49, then carry on: 499 / 66

Let's proceed to step 4:
66 goes into 499 7 times with a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 57.0
Deduct 462 from 499 and we're left with 37.
Fetch the next digit (7) from the dividend, attach it to 37 and continue: 377 / 66

Moving on to step 5:
If we divide 377 by 66, we get 5 and a remainder of 47.
The next digit of our result is 5. 
Result so far: 575.0
The remainder is 47 after subtracting 330 from 377.
Include the next digit (1) from the dividend after 47, then repeat: 471 / 66

Going ahead to step 6:
471 divided by 66 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 5757.0
Subtracting 462 from 471 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
When dividing 90 by 66, we get 1 with a remainder of 24.
Use 1 as the next digit of our solution. 
Result so far: 5757.1
Subtract 66 from 90 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
The number 66 fits into 240 3 times, leaving a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 5757.13
Subtract 198 from 240 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 9:
When dividing 420 by 66, we get 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 5757.136
Subtracting 396 from 420 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
The number 66 fits into 240 3 times, leaving a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 5757.1363
Deduct 198 from 240 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 11:
The number 66 fits into 420 6 times, leaving a remainder of 24.
The next digit of our result is 6. 
Result so far: 5757.13636
Deduct 396 from 420 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 12:
When dividing 240 by 66, we get 3 with a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 5757.136363
If we take 198 away from 240, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 13:
When dividing 420 by 66, we get 6 with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 5757.1363636
If we take 396 away from 420, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 14:
66 can be fit into 240 3 times, resulting in a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 5757.13636363
Subtracting 198 from 240 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 5757.13636363 with a remainder of 4.2e-08.