We're dividing 844219 by 65 
Let's see how many times 65 fits into 844219.

Advancing to step 1:
When dividing 8 by 65, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 65

Going ahead to step 2:
When dividing 84 by 65, we get 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 65 from 84, we get 19.
Include the next digit (4) from the dividend after 19, then repeat: 194 / 65

Advancing to step 3:
If we divide 194 by 65, we get 2 and a remainder of 64.
The next digit of our result is 2. 
Result so far: 12.0
Subtracting 130 from 194 leaves us with 64.
Grab the next digit (2) from the dividend, add it to 64, then carry on: 642 / 65

Moving on to step 4:
If we divide 642 by 65, we get 9 and a remainder of 57.
Put 9 as the next digit of the answer. 
Result so far: 129.0
Deduct 585 from 642 and we're left with 57.
Bring next digit (1) of the dividend behind the 57 and repeat the process: 571 / 65

Going ahead to step 5:
65 goes into 571 8 times with a remainder of 51.
The number 8 becomes the next digit in our result. 
Result so far: 1298.0
If we subtract 520 from 571, we get 51.
Bring next digit (9) of the dividend behind the 51 and repeat the process: 519 / 65

Let's proceed to step 6:
The number 65 fits into 519 7 times, leaving a remainder of 64.
Use 7 as the next digit of our solution. 
Result so far: 12987.0
The remainder is 64 after subtracting 455 from 519.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 7:
65 goes into 640 9 times with a remainder of 55.
The number 9 becomes the next digit in our result. 
Result so far: 12987.9
Subtracting 585 from 640 leaves us with 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 8:
65 goes into 550 8 times with a remainder of 30.
The next digit of our result is 8. 
Result so far: 12987.98
If we subtract 520 from 550, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
When dividing 300 by 65, we get 4 with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 12987.984
Deduct 260 from 300 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
When dividing 400 by 65, we get 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 12987.9846
If we subtract 390 from 400, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
65 goes into 100 1 times with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 12987.98461
If we take 65 away from 100, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 12:
65 can be fit into 350 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 12987.984615
Deduct 325 from 350 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 13:
65 can be fit into 250 3 times, resulting in a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 12987.9846153
Subtract 195 from 250 to 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.

Advancing to step 14:
65 goes into 550 8 times with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 12987.98461538
Subtract 520 from 550 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 12987.98461538, with a leftover of 3e-08.