Let's divide 6041419 by 511
Our goal is to divide 6041419 by 511.

Advancing to step 1:
When dividing 6 by 511, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 511

On to step 2:
When dividing 60 by 511, we get 0 with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 60 to get 60.
Take the next digit (4) from the dividend and append it to 60, then repeat: 604 / 511

Moving on to step 3:
511 goes into 604 1 times with a remainder of 93.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 511 from 604 to get 93.
Grab the next digit (1) from the dividend, add it to 93, then carry on: 931 / 511

On to step 4:
If we divide 931 by 511, we get 1 and a remainder of 420.
The next digit of our result is 1. 
Result so far: 11.0
The remainder is 420 after subtracting 511 from 931.
Fetch the next digit (4) from the dividend, attach it to 420 and continue: 4204 / 511

Moving on to step 5:
4204 divided by 511 is 8 with a remainder of 116.
Use 8 as the next digit of our solution. 
Result so far: 118.0
The remainder is 116 after subtracting 4088 from 4204.
Grab the next digit (1) from the dividend, add it to 116, then carry on: 1161 / 511

Step 6:
The number 511 fits into 1161 2 times, leaving a remainder of 139.
Record the quotient 2 as the next digit in the result. 
Result so far: 1182.0
Subtracting 1022 from 1161 leaves us with 139.
Fetch the next digit (9) from the dividend, attach it to 139 and continue: 1399 / 511

Step 7:
When dividing 1399 by 511, we get 2 with a remainder of 377.
Put 2 as the next digit of the answer. 
Result so far: 11822.0
Subtract 1022 from 1399 to get 377.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3770, and continue the process.

Moving on to step 8:
When dividing 3770 by 511, we get 7 with a remainder of 193.
Use 7 as the next digit of our solution. 
Result so far: 11822.7
If we subtract 3577 from 3770, we get 193.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1930, and continue the process.

On to step 9:
If we divide 1930 by 511, we get 3 and a remainder of 397.
Use 3 as the next digit of our solution. 
Result so far: 11822.73
Subtract 1533 from 1930 to get 397.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3970, and continue the process.

Going ahead to step 10:
If we divide 3970 by 511, we get 7 and a remainder of 393.
Put 7 as the next digit of the answer. 
Result so far: 11822.737
The remainder is 393 after subtracting 3577 from 3970.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3930, and continue the process.

Moving on to step 11:
511 can be fit into 3930 7 times, resulting in a remainder of 353.
Put 7 as the next digit of the answer. 
Result so far: 11822.7377
Deduct 3577 from 3930 and we're left with 353.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3530, and continue the process.

The final result is 11822.7377 with a remainder of 0.00353.