555177 divided by 35 
Our goal is to divide 555177 by 35.

On to step 1:
The number 35 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 35

Step 2:
When dividing 55 by 35, we get 1 with a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 35 from 55 to get 20.
Bring next digit (5) of the dividend behind the 20 and repeat the process: 205 / 35

Advancing to step 3:
If we divide 205 by 35, we get 5 and a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we subtract 175 from 205, we get 30.
Bring next digit (1) of the dividend behind the 30 and repeat the process: 301 / 35

Step 4:
301 divided by 35 is 8 with a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 158.0
Subtract 280 from 301 to get 21.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 35

Step 5:
If we divide 217 by 35, we get 6 and a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 1586.0
Subtracting 210 from 217 leaves us with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 35

Moving on to step 6:
35 goes into 77 2 times with a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 15862.0
If we take 70 away from 77, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
70 divided by 35 is 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 15862.2
Subtract 70 from 70 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
When dividing 0 by 35, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 15862.2
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
35 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 15862.2
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 15862.2, with a leftover of 0.0.