4436959 ÷ 919 
We want to divide 4436959 by 919.

Let's proceed to step 1:
4 divided by 919 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 919

Moving on to step 2:
When dividing 44 by 919, we get 0 with a remainder of 44.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 44 to get 44.
Take the next digit (3) from the dividend and append it to 44, then repeat: 443 / 919

Moving on to step 3:
When dividing 443 by 919, we get 0 with a remainder of 443.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 443, we get 443.
Grab the next digit (6) from the dividend, add it to 443, then carry on: 4436 / 919

Let's proceed to step 4:
919 goes into 4436 4 times with a remainder of 760.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 760 after subtracting 3676 from 4436.
Bring next digit (9) of the dividend behind the 760 and repeat the process: 7609 / 919

Advancing to step 5:
7609 divided by 919 is 8 with a remainder of 257.
The next digit of our result is 8. 
Result so far: 48.0
Subtract 7352 from 7609 to get 257.
Grab the next digit (5) from the dividend, add it to 257, then carry on: 2575 / 919

On to step 6:
When dividing 2575 by 919, we get 2 with a remainder of 737.
Put 2 as the next digit of the answer. 
Result so far: 482.0
Subtracting 1838 from 2575 leaves us with 737.
Bring next digit (9) of the dividend behind the 737 and repeat the process: 7379 / 919

Step 7:
919 goes into 7379 8 times with a remainder of 27.
Write down 8 as next digit of the result. 
Result so far: 4828.0
If we subtract 7352 from 7379, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 8:
When dividing 270 by 919, we get 0 with a remainder of 270.
Use 0 as the next digit of our solution. 
Result so far: 4828.0
If we take 0 away from 270, we end up with 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

Let's proceed to step 9:
919 goes into 2700 2 times with a remainder of 862.
The next digit of our result is 2. 
Result so far: 4828.02
Subtracting 1838 from 2700 leaves us with 862.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8620, and continue the process.

On to step 10:
919 can be fit into 8620 9 times, resulting in a remainder of 349.
The number 9 becomes the next digit in our result. 
Result so far: 4828.029
Subtracting 8271 from 8620 leaves us with 349.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3490, and continue the process.

Advancing to step 11:
919 can be fit into 3490 3 times, resulting in a remainder of 733.
Put 3 as the next digit of the answer. 
Result so far: 4828.0293
Deduct 2757 from 3490 and we're left with 733.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7330, and continue the process.

Step 12:
919 goes into 7330 7 times with a remainder of 897.
Put 7 as the next digit of the answer. 
Result so far: 4828.02937
If we take 6433 away from 7330, we end up with 897.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8970, and continue the process.

Let's proceed to step 13:
The number 919 fits into 8970 9 times, leaving a remainder of 699.
Put 9 as the next digit of the answer. 
Result so far: 4828.029379
Subtract 8271 from 8970 to get 699.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6990, and continue the process.

Going ahead to step 14:
6990 divided by 919 is 7 with a remainder of 557.
Put 7 as the next digit of the answer. 
Result so far: 4828.0293797
If we subtract 6433 from 6990, we get 557.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5570, and continue the process.

Let's proceed to step 15:
The number 919 fits into 5570 6 times, leaving a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 4828.02937976
Deduct 5514 from 5570 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final outcome is 4828.02937976, with a leftover of 5.6e-08.