We're dividing 5179 by 9 
Our goal is to divide 5179 by 9.

Moving on to step 1:
5 divided by 9 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 9

Step 2:
When dividing 51 by 9, we get 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 45 from 51, we get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 9

Let's proceed to step 3:
9 can be fit into 67 7 times, resulting in a remainder of 4.
The next digit of our result is 7. 
Result so far: 57.0
Deduct 63 from 67 and we're left with 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 9

Step 4:
9 can be fit into 49 5 times, resulting in a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 575.0
Subtract 45 from 49 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 5:
9 can be fit into 40 4 times, resulting in a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 575.4
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 6:
When dividing 40 by 9, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 575.44
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 575.44 and a remainder of 0.004.