We're dividing 535225 by 34 
Our goal is to divide 535225 by 34.

On to step 1:
34 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 34

Advancing to step 2:
If we divide 53 by 34, we get 1 and a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 19 after subtracting 34 from 53.
Include the next digit (5) from the dividend after 19, then repeat: 195 / 34

Advancing to step 3:
34 goes into 195 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 170 from 195 and we're left with 25.
Grab the next digit (2) from the dividend, add it to 25, then carry on: 252 / 34

Let's proceed to step 4:
If we divide 252 by 34, we get 7 and a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 157.0
Deduct 238 from 252 and we're left with 14.
Append the next digit (2) from the dividend to 14 and continue with: 142 / 34

Moving on to step 5:
When dividing 142 by 34, we get 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 1574.0
Subtracting 136 from 142 leaves us with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 34

Let's proceed to step 6:
65 divided by 34 is 1 with a remainder of 31.
The next digit of our result is 1. 
Result so far: 15741.0
If we subtract 34 from 65, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
310 divided by 34 is 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 15741.9
Deduct 306 from 310 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.

Step 8:
The number 34 fits into 40 1 times, leaving a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 15741.91
Subtracting 34 from 40 leaves us 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:
The number 34 fits into 60 1 times, leaving a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 15741.911
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 outcome is 15741.911, with a leftover of 0.0026.