377643 ÷ 66 
Let's see how many times 66 fits into 377643.

Going ahead to step 1:
If we divide 3 by 66, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 66

Let's proceed to step 2:
The number 66 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Bring next digit (7) of the dividend behind the 37 and repeat the process: 377 / 66

Advancing to step 3:
When dividing 377 by 66, we get 5 with a remainder of 47.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 330 from 377 and we're left with 47.
Include the next digit (6) from the dividend after 47, then repeat: 476 / 66

Moving on to step 4:
When dividing 476 by 66, we get 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 57.0
Deduct 462 from 476 and we're left with 14.
Grab the next digit (4) from the dividend, add it to 14, then carry on: 144 / 66

Step 5:
If we divide 144 by 66, we get 2 and a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 572.0
The remainder is 12 after subtracting 132 from 144.
Grab the next digit (3) from the dividend, add it to 12, then carry on: 123 / 66

Advancing to step 6:
66 can be fit into 123 1 times, resulting in a remainder of 57.
The next digit of our result is 1. 
Result so far: 5721.0
Subtracting 66 from 123 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 7:
If we divide 570 by 66, we get 8 and a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 5721.8
Subtract 528 from 570 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 8:
420 divided by 66 is 6 with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 5721.86
The remainder is 24 after subtracting 396 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
240 divided by 66 is 3 with a remainder of 42.
The next digit of our result is 3. 
Result so far: 5721.863
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.

Advancing to step 10:
When dividing 420 by 66, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 5721.8636
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.

Step 11:
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: 5721.86363
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.

Moving on to step 12:
When dividing 420 by 66, we get 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 5721.863636
Subtract 396 from 420 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.

Moving on to step 13:
When dividing 240 by 66, we get 3 with a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 5721.8636363
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.

Going ahead to step 14:
If we divide 420 by 66, we get 6 and a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 5721.86363636
The remainder is 24 after subtracting 396 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final outcome is 5721.86363636, with a leftover of 2.4e-08.