3782 divided by 77 
Let's see how many times 77 fits into 3782.

Moving on to step 1:
77 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 77

Advancing to step 2:
If we divide 37 by 77, we get 0 and a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Include the next digit (8) from the dividend after 37, then repeat: 378 / 77

On to step 3:
77 goes into 378 4 times with a remainder of 70.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 70 after subtracting 308 from 378.
Bring next digit (2) of the dividend behind the 70 and repeat the process: 702 / 77

On to step 4:
702 divided by 77 is 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 49.0
Subtract 693 from 702 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 5:
When dividing 90 by 77, we get 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 49.1
If we take 77 away from 90, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 6:
77 can be fit into 130 1 times, resulting in a remainder of 53.
Write down 1 as next digit of the result. 
Result so far: 49.11
Subtract 77 from 130 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

The quotient of the division is 49.11, and the remainder is 0.053.