We divide 344874 by 77
We want to divide 344874 by 77.

Going ahead to step 1:
When dividing 3 by 77, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 77

Going ahead to step 2:
The number 77 fits into 34 0 times, leaving a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Bring next digit (4) of the dividend behind the 34 and repeat the process: 344 / 77

Moving on to step 3:
If we divide 344 by 77, we get 4 and a remainder of 36.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 308 from 344 to get 36.
Append the next digit (8) from the dividend to 36 and continue with: 368 / 77

On to step 4:
If we divide 368 by 77, we get 4 and a remainder of 60.
The next digit of our result is 4. 
Result so far: 44.0
The remainder is 60 after subtracting 308 from 368.
Grab the next digit (7) from the dividend, add it to 60, then carry on: 607 / 77

Going ahead to step 5:
607 divided by 77 is 7 with a remainder of 68.
Write down 7 as next digit of the result. 
Result so far: 447.0
Deduct 539 from 607 and we're left with 68.
Bring next digit (4) of the dividend behind the 68 and repeat the process: 684 / 77

Step 6:
684 divided by 77 is 8 with a remainder of 68.
Put 8 as the next digit of the answer. 
Result so far: 4478.0
Subtract 616 from 684 to 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.

Step 7:
77 can be fit into 680 8 times, resulting in a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 4478.8
Subtracting 616 from 680 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 8:
When dividing 640 by 77, we get 8 with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 4478.88
If we subtract 616 from 640, we 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.

The final result is 4478.88 with a remainder of 0.024.