We look at the division of 377936 by 66 
Our goal is to divide 377936 by 66.

Going ahead to step 1:
The number 66 fits into 3 0 times, leaving 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.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 66

On to step 2:
If we divide 37 by 66, we get 0 and a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Append the next digit (7) from the dividend to 37 and continue with: 377 / 66

On to step 3:
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: 5.0
Deduct 330 from 377 and we're left with 47.
Include the next digit (9) from the dividend after 47, then repeat: 479 / 66

Step 4:
66 can be fit into 479 7 times, resulting in a remainder of 17.
The next digit of our result is 7. 
Result so far: 57.0
Subtract 462 from 479 to get 17.
Append the next digit (3) from the dividend to 17 and continue with: 173 / 66

Let's proceed to step 5:
When dividing 173 by 66, we get 2 with a remainder of 41.
Use 2 as the next digit of our solution. 
Result so far: 572.0
The remainder is 41 after subtracting 132 from 173.
Grab the next digit (6) from the dividend, add it to 41, then carry on: 416 / 66

Advancing to step 6:
When dividing 416 by 66, we get 6 with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 5726.0
If we take 396 away from 416, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 7:
66 can be fit into 200 3 times, resulting in a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 5726.3
Subtract 198 from 200 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
66 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 5726.3
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
When dividing 200 by 66, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 5726.303
Subtracting 198 from 200 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
20 divided by 66 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5726.303
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
66 can be fit into 200 3 times, resulting in a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 5726.30303
If we subtract 198 from 200, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
If we divide 20 by 66, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 5726.30303
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 13:
200 divided by 66 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 5726.3030303
Deduct 198 from 200 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 14:
20 divided by 66 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5726.3030303
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 5726.3030303 with a remainder of 2e-08.