Let's divide 503588 by 34
Our goal is to divide 503588 by 34.

Advancing to step 1:
34 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 34

Moving on to step 2:
34 can be fit into 50 1 times, resulting in a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
If we take 34 away from 50, we end up with 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 34

Step 3:
If we divide 163 by 34, we get 4 and a remainder of 27.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we subtract 136 from 163, we get 27.
Bring next digit (5) of the dividend behind the 27 and repeat the process: 275 / 34

Going ahead to step 4:
If we divide 275 by 34, we get 8 and a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 148.0
Deduct 272 from 275 and we're left with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 34

Going ahead to step 5:
If we divide 38 by 34, we get 1 and a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1481.0
Deduct 34 from 38 and we're left with 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 34

On to step 6:
48 divided by 34 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 14811.0
If we take 34 away from 48, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
140 divided by 34 is 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 14811.4
If we subtract 136 from 140, we 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 8:
When dividing 40 by 34, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 14811.41
Deduct 34 from 40 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
When dividing 60 by 34, we get 1 with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 14811.411
The remainder is 26 after subtracting 34 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 14811.411 with a remainder of 0.0026.