We're dividing 501179 by 34 
Our goal is to divide 501179 by 34.

Let's proceed to step 1:
34 goes into 5 0 times 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 (0) from the dividend and append it to 5, then repeat: 50 / 34

Let's proceed to step 2:
34 goes into 50 1 times with a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 34 from 50, we get 16.
Fetch the next digit (1) from the dividend, attach it to 16 and continue: 161 / 34

Advancing to step 3:
When dividing 161 by 34, we get 4 with a remainder of 25.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Subtract 136 from 161 to get 25.
Grab the next digit (1) from the dividend, add it to 25, then carry on: 251 / 34

Advancing to step 4:
251 divided by 34 is 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 147.0
Subtract 238 from 251 to get 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 34

On to step 5:
137 divided by 34 is 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 1474.0
If we take 136 away from 137, we end up with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 34

Moving on to step 6:
If we divide 19 by 34, we get 0 and a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 14740.0
If we take 0 away from 19, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
The number 34 fits into 190 5 times, leaving a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 14740.5
Subtracting 170 from 190 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
The number 34 fits into 200 5 times, leaving a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 14740.55
Subtract 170 from 200 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 14740.55, with a leftover of 0.03.