We look at the division of 5414038 by 584 
Our goal is to divide 5414038 by 584.

On to step 1:
584 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 584

On to step 2:
If we divide 54 by 584, we get 0 and a remainder of 54.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 54, we end up with 54.
Grab the next digit (1) from the dividend, add it to 54, then carry on: 541 / 584

On to step 3:
584 can be fit into 541 0 times, resulting in a remainder of 541.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 541, we get 541.
Take the next digit (4) from the dividend and append it to 541, then repeat: 5414 / 584

On to step 4:
584 goes into 5414 9 times with a remainder of 158.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 5256 from 5414 and we're left with 158.
Include the next digit (0) from the dividend after 158, then repeat: 1580 / 584

Moving on to step 5:
When dividing 1580 by 584, we get 2 with a remainder of 412.
The number 2 becomes the next digit in our result. 
Result so far: 92.0
Subtract 1168 from 1580 to get 412.
Grab the next digit (3) from the dividend, add it to 412, then carry on: 4123 / 584

Moving on to step 6:
584 goes into 4123 7 times with a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 927.0
If we subtract 4088 from 4123, we get 35.
Take the next digit (8) from the dividend and append it to 35, then repeat: 358 / 584

Step 7:
When dividing 358 by 584, we get 0 with a remainder of 358.
Put 0 as the next digit of the answer. 
Result so far: 9270.0
The remainder is 358 after subtracting 0 from 358.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3580, and continue the process.

On to step 8:
3580 divided by 584 is 6 with a remainder of 76.
The next digit of our result is 6. 
Result so far: 9270.6
Subtracting 3504 from 3580 leaves us with 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 9:
760 divided by 584 is 1 with a remainder of 176.
Write down 1 as next digit of the result. 
Result so far: 9270.61
If we subtract 584 from 760, we get 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Let's proceed to step 10:
The number 584 fits into 1760 3 times, leaving a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 9270.613
If we take 1752 away from 1760, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 11:
If we divide 80 by 584, we get 0 and a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 9270.613
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 12:
When dividing 800 by 584, we get 1 with a remainder of 216.
Record the quotient 1 as the next digit in the result. 
Result so far: 9270.61301
Deduct 584 from 800 and we're left with 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

On to step 13:
584 goes into 2160 3 times with a remainder of 408.
The next digit of our result is 3. 
Result so far: 9270.613013
If we subtract 1752 from 2160, we get 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Going ahead to step 14:
If we divide 4080 by 584, we get 6 and a remainder of 576.
Record the quotient 6 as the next digit in the result. 
Result so far: 9270.6130136
Subtract 3504 from 4080 to get 576.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5760, and continue the process.

Going ahead to step 15:
5760 divided by 584 is 9 with a remainder of 504.
The number 9 becomes the next digit in our result. 
Result so far: 9270.61301369
Deduct 5256 from 5760 and we're left with 504.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5040, and continue the process.

The quotient of the division is 9270.61301369, and the remainder is 5.04e-07.