We look at the division of 335177 by 59 
Our goal is to divide 335177 by 59.

Step 1:
59 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 59

Moving on to step 2:
The number 59 fits into 33 0 times, leaving a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Append the next digit (5) from the dividend to 33 and continue with: 335 / 59

Advancing to step 3:
59 goes into 335 5 times with a remainder of 40.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 295 from 335 and we're left with 40.
Bring next digit (1) of the dividend behind the 40 and repeat the process: 401 / 59

Going ahead to step 4:
The number 59 fits into 401 6 times, leaving a remainder of 47.
Put 6 as the next digit of the answer. 
Result so far: 56.0
The remainder is 47 after subtracting 354 from 401.
Grab the next digit (7) from the dividend, add it to 47, then carry on: 477 / 59

Step 5:
59 can be fit into 477 8 times, resulting in a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 568.0
If we subtract 472 from 477, we get 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 59

Step 6:
59 can be fit into 57 0 times, resulting in a remainder of 57.
The next digit of our result is 0. 
Result so far: 5680.0
Deduct 0 from 57 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 7:
If we divide 570 by 59, we get 9 and a remainder of 39.
The number 9 becomes the next digit in our result. 
Result so far: 5680.9
The remainder is 39 after subtracting 531 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 8:
390 divided by 59 is 6 with a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 5680.96
The remainder is 36 after subtracting 354 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 9:
The number 59 fits into 360 6 times, leaving a remainder of 6.
The next digit of our result is 6. 
Result so far: 5680.966
Subtract 354 from 360 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 5680.966 with a remaining 0.0006.