We look at the division of 35204 by 59 
We want to divide 35204 by 59.

Going ahead to step 1:
The number 59 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 59

On to step 2:
35 divided by 59 is 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Take the next digit (2) from the dividend and append it to 35, then repeat: 352 / 59

Going ahead to step 3:
59 goes into 352 5 times with a remainder of 57.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 57 after subtracting 295 from 352.
Append the next digit (0) from the dividend to 57 and continue with: 570 / 59

Moving on to step 4:
59 can be fit into 570 9 times, resulting in a remainder of 39.
The next digit of our result is 9. 
Result so far: 59.0
Subtract 531 from 570 to get 39.
Include the next digit (4) from the dividend after 39, then repeat: 394 / 59

Going ahead to step 5:
When dividing 394 by 59, we get 6 with a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 596.0
Deduct 354 from 394 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 6:
59 can be fit into 400 6 times, resulting in a remainder of 46.
The next digit of our result is 6. 
Result so far: 596.6
If we subtract 354 from 400, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 7:
The number 59 fits into 460 7 times, leaving a remainder of 47.
Write down 7 as next digit of the result. 
Result so far: 596.67
If we subtract 413 from 460, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 8:
When dividing 470 by 59, we get 7 with a remainder of 57.
Put 7 as the next digit of the answer. 
Result so far: 596.677
The remainder is 57 after subtracting 413 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Our division results in 596.677 with a remaining 0.0057.