5549294 ÷ 511 
Our goal is to divide 5549294 by 511.

On to step 1:
511 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 511

On to step 2:
511 goes into 55 0 times with a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Bring next digit (4) of the dividend behind the 55 and repeat the process: 554 / 511

Let's proceed to step 3:
If we divide 554 by 511, we get 1 and a remainder of 43.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 511 from 554 leaves us with 43.
Include the next digit (9) from the dividend after 43, then repeat: 439 / 511

Moving on to step 4:
511 can be fit into 439 0 times, resulting in a remainder of 439.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 439, we end up with 439.
Grab the next digit (2) from the dividend, add it to 439, then carry on: 4392 / 511

Moving on to step 5:
511 goes into 4392 8 times with a remainder of 304.
Put 8 as the next digit of the answer. 
Result so far: 108.0
Subtract 4088 from 4392 to get 304.
Bring next digit (9) of the dividend behind the 304 and repeat the process: 3049 / 511

Moving on to step 6:
511 can be fit into 3049 5 times, resulting in a remainder of 494.
Write down 5 as next digit of the result. 
Result so far: 1085.0
Deduct 2555 from 3049 and we're left with 494.
Append the next digit (4) from the dividend to 494 and continue with: 4944 / 511

Moving on to step 7:
4944 divided by 511 is 9 with a remainder of 345.
Record the quotient 9 as the next digit in the result. 
Result so far: 10859.0
If we subtract 4599 from 4944, we get 345.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3450, and continue the process.

Moving on to step 8:
When dividing 3450 by 511, we get 6 with a remainder of 384.
Write down 6 as next digit of the result. 
Result so far: 10859.6
The remainder is 384 after subtracting 3066 from 3450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3840, and continue the process.

Advancing to step 9:
3840 divided by 511 is 7 with a remainder of 263.
Put 7 as the next digit of the answer. 
Result so far: 10859.67
Subtract 3577 from 3840 to get 263.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2630, and continue the process.

On to step 10:
When dividing 2630 by 511, we get 5 with a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 10859.675
Deduct 2555 from 2630 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.

Going ahead to step 11:
511 goes into 750 1 times with a remainder of 239.
Use 1 as the next digit of our solution. 
Result so far: 10859.6751
The remainder is 239 after subtracting 511 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2390, and continue the process.

Let's proceed to step 12:
If we divide 2390 by 511, we get 4 and a remainder of 346.
Use 4 as the next digit of our solution. 
Result so far: 10859.67514
If we subtract 2044 from 2390, we get 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Moving on to step 13:
511 can be fit into 3460 6 times, resulting in a remainder of 394.
Record the quotient 6 as the next digit in the result. 
Result so far: 10859.675146
Subtract 3066 from 3460 to get 394.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

Step 14:
3940 divided by 511 is 7 with a remainder of 363.
Use 7 as the next digit of our solution. 
Result so far: 10859.6751467
Deduct 3577 from 3940 and we're left with 363.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3630, and continue the process.

Let's proceed to step 15:
3630 divided by 511 is 7 with a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 10859.67514677
Subtracting 3577 from 3630 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Our division results in 10859.67514677 with a remaining 5.3e-08.