We're dividing 586539 by 35 
We're looking to find how many times 35 goes into 586539.

Moving on to step 1:
35 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 35

Step 2:
The number 35 fits into 58 1 times, leaving a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 35 from 58 and we're left with 23.
Take the next digit (6) from the dividend and append it to 23, then repeat: 236 / 35

On to step 3:
If we divide 236 by 35, we get 6 and a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we subtract 210 from 236, we get 26.
Grab the next digit (5) from the dividend, add it to 26, then carry on: 265 / 35

On to step 4:
35 goes into 265 7 times with a remainder of 20.
The next digit of our result is 7. 
Result so far: 167.0
Subtracting 245 from 265 leaves us with 20.
Take the next digit (3) from the dividend and append it to 20, then repeat: 203 / 35

Step 5:
35 can be fit into 203 5 times, resulting in a remainder of 28.
The number 5 becomes the next digit in our result. 
Result so far: 1675.0
Subtract 175 from 203 to get 28.
Take the next digit (9) from the dividend and append it to 28, then repeat: 289 / 35

Going ahead to step 6:
When dividing 289 by 35, we get 8 with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 16758.0
If we subtract 280 from 289, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
35 can be fit into 90 2 times, resulting in a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 16758.2
Deduct 70 from 90 and we're left 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.

Going ahead to step 8:
If we divide 200 by 35, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 16758.25
If we take 175 away from 200, we end up 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.

Moving on to step 9:
250 divided by 35 is 7 with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 16758.257
The remainder is 5 after subtracting 245 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 10:
35 can be fit into 50 1 times, resulting in a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 16758.2571
The remainder is 15 after subtracting 35 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 11:
If we divide 150 by 35, we get 4 and a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 16758.25714
If we take 140 away from 150, we end up 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.

Going ahead to step 12:
The number 35 fits into 100 2 times, leaving a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 16758.257142
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.

Going ahead to step 13:
If we divide 300 by 35, we get 8 and a remainder of 20.
The next digit of our result is 8. 
Result so far: 16758.2571428
If we take 280 away from 300, we end up 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 14:
35 goes into 200 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 16758.25714285
Deduct 175 from 200 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.

The quotient of the division is 16758.25714285, and the remainder is 2.5e-08.