We look at the division of 409616 by 77 
Our goal is to divide 409616 by 77.

Going ahead to step 1:
77 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 77

On to step 2:
40 divided by 77 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 40, we get 40.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 77

On to step 3:
The number 77 fits into 409 5 times, leaving a remainder of 24.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 385 from 409 to get 24.
Append the next digit (6) from the dividend to 24 and continue with: 246 / 77

On to step 4:
77 goes into 246 3 times with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 53.0
Subtracting 231 from 246 leaves us with 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 77

Advancing to step 5:
When dividing 151 by 77, we get 1 with a remainder of 74.
Put 1 as the next digit of the answer. 
Result so far: 531.0
Subtract 77 from 151 to get 74.
Bring next digit (6) of the dividend behind the 74 and repeat the process: 746 / 77

Step 6:
77 goes into 746 9 times with a remainder of 53.
Put 9 as the next digit of the answer. 
Result so far: 5319.0
Subtract 693 from 746 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.

Step 7:
The number 77 fits into 530 6 times, leaving a remainder of 68.
Write down 6 as next digit of the result. 
Result so far: 5319.6
If we subtract 462 from 530, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 8:
77 can be fit into 680 8 times, resulting in a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 5319.68
Subtract 616 from 680 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 9:
When dividing 640 by 77, we get 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 5319.688
Subtracting 616 from 640 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.

The quotient of the division is 5319.688, and the remainder is 0.0024.