580291 ÷ 35 
Our goal is to divide 580291 by 35.

Advancing to step 1:
35 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 35

Moving on to step 2:
If we divide 58 by 35, we get 1 and a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 35 from 58, we get 23.
Include the next digit (0) from the dividend after 23, then repeat: 230 / 35

Step 3:
230 divided by 35 is 6 with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we subtract 210 from 230, we get 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 35

On to step 4:
202 divided by 35 is 5 with a remainder of 27.
The number 5 becomes the next digit in our result. 
Result so far: 165.0
The remainder is 27 after subtracting 175 from 202.
Bring next digit (9) of the dividend behind the 27 and repeat the process: 279 / 35

Let's proceed to step 5:
35 goes into 279 7 times with a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 1657.0
Subtract 245 from 279 to get 34.
Bring next digit (1) of the dividend behind the 34 and repeat the process: 341 / 35

Let's proceed to step 6:
35 goes into 341 9 times with a remainder of 26.
The next digit of our result is 9. 
Result so far: 16579.0
Subtracting 315 from 341 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
260 divided by 35 is 7 with a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 16579.7
The remainder is 15 after subtracting 245 from 260.
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 8:
When dividing 150 by 35, we get 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 16579.74
Subtracting 140 from 150 leaves us 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.

On to step 9:
When dividing 100 by 35, we get 2 with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 16579.742
If we take 70 away from 100, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
35 can be fit into 300 8 times, resulting in a remainder of 20.
The next digit of our result is 8. 
Result so far: 16579.7428
Subtracting 280 from 300 leaves us with 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 11:
200 divided by 35 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 16579.74285
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.

Moving on to step 12:
The number 35 fits into 250 7 times, leaving a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 16579.742857
Subtract 245 from 250 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 13:
35 goes into 50 1 times with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 16579.7428571
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.

Going ahead to step 14:
When dividing 150 by 35, we get 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 16579.74285714
If we subtract 140 from 150, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 16579.74285714, and the remainder is 1e-08.