We're dividing 577980 by 35 
We're looking to find how many times 35 goes into 577980.

On to step 1:
The number 35 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 35

Moving on to step 2:
57 divided by 35 is 1 with a remainder of 22.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 35 from 57 and we're left with 22.
Take the next digit (7) from the dividend and append it to 22, then repeat: 227 / 35

Let's proceed to step 3:
227 divided by 35 is 6 with a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Deduct 210 from 227 and we're left with 17.
Append the next digit (9) from the dividend to 17 and continue with: 179 / 35

Let's proceed to step 4:
The number 35 fits into 179 5 times, leaving a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 165.0
If we take 175 away from 179, we end up with 4.
Append the next digit (8) from the dividend to 4 and continue with: 48 / 35

Step 5:
When dividing 48 by 35, we get 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1651.0
The remainder is 13 after subtracting 35 from 48.
Bring next digit (0) of the dividend behind the 13 and repeat the process: 130 / 35

Let's proceed to step 6:
35 can be fit into 130 3 times, resulting in a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 16513.0
Deduct 105 from 130 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
250 divided by 35 is 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 16513.7
Subtracting 245 from 250 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The next digit of our result is 1. 
Result so far: 16513.71
If we take 35 away from 50, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
150 divided by 35 is 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 16513.714
Deduct 140 from 150 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
35 goes into 100 2 times with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 16513.7142
The remainder is 30 after subtracting 70 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 11:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 16513.71428
If we subtract 280 from 300, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 12:
If we divide 200 by 35, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 16513.714285
Subtract 175 from 200 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 13:
The number 35 fits into 250 7 times, leaving a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 16513.7142857
Deduct 245 from 250 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
50 divided by 35 is 1 with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 16513.71428571
Deduct 35 from 50 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final outcome is 16513.71428571, with a leftover of 1.5e-08.