431684 divided by 77 
Our goal is to divide 431684 by 77.

Step 1:
4 divided by 77 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 77

Let's proceed to step 2:
The number 77 fits into 43 0 times, leaving a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Grab the next digit (1) from the dividend, add it to 43, then carry on: 431 / 77

Advancing to step 3:
77 goes into 431 5 times with a remainder of 46.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 385 from 431 to get 46.
Fetch the next digit (6) from the dividend, attach it to 46 and continue: 466 / 77

Going ahead to step 4:
If we divide 466 by 77, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 56.0
The remainder is 4 after subtracting 462 from 466.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 77

On to step 5:
77 can be fit into 48 0 times, resulting in a remainder of 48.
Use 0 as the next digit of our solution. 
Result so far: 560.0
Deduct 0 from 48 and we're left with 48.
Bring next digit (4) of the dividend behind the 48 and repeat the process: 484 / 77

Advancing to step 6:
77 can be fit into 484 6 times, resulting in a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 5606.0
If we take 462 away from 484, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
220 divided by 77 is 2 with a remainder of 66.
Put 2 as the next digit of the answer. 
Result so far: 5606.2
Deduct 154 from 220 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 8:
77 goes into 660 8 times with a remainder of 44.
Use 8 as the next digit of our solution. 
Result so far: 5606.28
The remainder is 44 after subtracting 616 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
440 divided by 77 is 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 5606.285
If we subtract 385 from 440, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 10:
77 goes into 550 7 times with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 5606.2857
The remainder is 11 after subtracting 539 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 11:
110 divided by 77 is 1 with a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 5606.28571
If we take 77 away from 110, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 12:
When dividing 330 by 77, we get 4 with a remainder of 22.
The next digit of our result is 4. 
Result so far: 5606.285714
Subtract 308 from 330 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 13:
77 can be fit into 220 2 times, resulting in a remainder of 66.
Write down 2 as next digit of the result. 
Result so far: 5606.2857142
Subtracting 154 from 220 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 14:
The number 77 fits into 660 8 times, leaving a remainder of 44.
Put 8 as the next digit of the answer. 
Result so far: 5606.28571428
Subtracting 616 from 660 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The quotient of the division is 5606.28571428, and the remainder is 4.4e-08.