344903 ÷ 77 
Let's see how many times 77 fits into 344903.

On to step 1:
When dividing 3 by 77, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 77

Moving on to step 2:
77 can be fit into 34 0 times, resulting in a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Append the next digit (4) from the dividend to 34 and continue with: 344 / 77

Let's proceed to step 3:
77 goes into 344 4 times with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 308 away from 344, we end up with 36.
Append the next digit (9) from the dividend to 36 and continue with: 369 / 77

Let's proceed to step 4:
369 divided by 77 is 4 with a remainder of 61.
The next digit of our result is 4. 
Result so far: 44.0
Subtract 308 from 369 to get 61.
Include the next digit (0) from the dividend after 61, then repeat: 610 / 77

Step 5:
When dividing 610 by 77, we get 7 with a remainder of 71.
Record the quotient 7 as the next digit in the result. 
Result so far: 447.0
Subtract 539 from 610 to get 71.
Fetch the next digit (3) from the dividend, attach it to 71 and continue: 713 / 77

On to step 6:
When dividing 713 by 77, we get 9 with a remainder of 20.
The number 9 becomes the next digit in our result. 
Result so far: 4479.0
If we subtract 693 from 713, we 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.

Going ahead to step 7:
77 can be fit into 200 2 times, resulting in a remainder of 46.
The number 2 becomes the next digit in our result. 
Result so far: 4479.2
Subtracting 154 from 200 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 8:
The number 77 fits into 460 5 times, leaving a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 4479.25
The remainder is 75 after subtracting 385 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 9:
If we divide 750 by 77, we get 9 and a remainder of 57.
Put 9 as the next digit of the answer. 
Result so far: 4479.259
If we take 693 away from 750, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 10:
77 goes into 570 7 times with a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 4479.2597
Subtract 539 from 570 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 11:
310 divided by 77 is 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 4479.25974
If we take 308 away from 310, we end up 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.

On to step 12:
When dividing 20 by 77, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 4479.25974
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.

Step 13:
200 divided by 77 is 2 with a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 4479.2597402
Subtract 154 from 200 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 14:
When dividing 460 by 77, we get 5 with a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 4479.25974025
Deduct 385 from 460 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

The final result is 4479.25974025 with a remainder of 7.5e-08.