6419050 divided by 503 
Our goal is to divide 6419050 by 503.

Advancing to step 1:
If we divide 6 by 503, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 503

Let's proceed to step 2:
503 can be fit into 64 0 times, resulting in a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Take the next digit (1) from the dividend and append it to 64, then repeat: 641 / 503

Going ahead to step 3:
When dividing 641 by 503, we get 1 with a remainder of 138.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 503 from 641 and we're left with 138.
Append the next digit (9) from the dividend to 138 and continue with: 1389 / 503

Advancing to step 4:
The number 503 fits into 1389 2 times, leaving a remainder of 383.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Deduct 1006 from 1389 and we're left with 383.
Include the next digit (0) from the dividend after 383, then repeat: 3830 / 503

Let's proceed to step 5:
The number 503 fits into 3830 7 times, leaving a remainder of 309.
The next digit of our result is 7. 
Result so far: 127.0
Deduct 3521 from 3830 and we're left with 309.
Take the next digit (5) from the dividend and append it to 309, then repeat: 3095 / 503

Advancing to step 6:
503 can be fit into 3095 6 times, resulting in a remainder of 77.
Record the quotient 6 as the next digit in the result. 
Result so far: 1276.0
Subtract 3018 from 3095 to get 77.
Include the next digit (0) from the dividend after 77, then repeat: 770 / 503

Let's proceed to step 7:
770 divided by 503 is 1 with a remainder of 267.
Put 1 as the next digit of the answer. 
Result so far: 12761.0
Subtract 503 from 770 to get 267.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2670, and continue the process.

Step 8:
If we divide 2670 by 503, we get 5 and a remainder of 155.
Put 5 as the next digit of the answer. 
Result so far: 12761.5
If we subtract 2515 from 2670, we get 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

On to step 9:
1550 divided by 503 is 3 with a remainder of 41.
The next digit of our result is 3. 
Result so far: 12761.53
Subtracting 1509 from 1550 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 10:
410 divided by 503 is 0 with a remainder of 410.
Record the quotient 0 as the next digit in the result. 
Result so far: 12761.53
Subtract 0 from 410 to get 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

On to step 11:
503 goes into 4100 8 times with a remainder of 76.
The number 8 becomes the next digit in our result. 
Result so far: 12761.5308
Subtract 4024 from 4100 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 12:
503 can be fit into 760 1 times, resulting in a remainder of 257.
Use 1 as the next digit of our solution. 
Result so far: 12761.53081
Deduct 503 from 760 and we're left with 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2570, and continue the process.

Moving on to step 13:
The number 503 fits into 2570 5 times, leaving a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 12761.530815
If we subtract 2515 from 2570, 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.

On to step 14:
If we divide 550 by 503, we get 1 and a remainder of 47.
Put 1 as the next digit of the answer. 
Result so far: 12761.5308151
Subtracting 503 from 550 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 15:
470 divided by 503 is 0 with a remainder of 470.
Put 0 as the next digit of the answer. 
Result so far: 12761.5308151
Subtracting 0 from 470 leaves us with 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

The final result is 12761.5308151 with a remainder of 4.7e-07.