We're dividing 583979 by 35 
We're looking to find how many times 35 goes into 583979.

Moving on to step 1:
5 divided by 35 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 35

Moving on to step 2:
The number 35 fits into 58 1 times, leaving a remainder of 23.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 35 from 58 leaves us with 23.
Grab the next digit (3) from the dividend, add it to 23, then carry on: 233 / 35

Moving on to step 3:
If we divide 233 by 35, we get 6 and a remainder of 23.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Deduct 210 from 233 and we're left with 23.
Include the next digit (9) from the dividend after 23, then repeat: 239 / 35

On to step 4:
When dividing 239 by 35, we get 6 with a remainder of 29.
The next digit of our result is 6. 
Result so far: 166.0
If we take 210 away from 239, we end up with 29.
Include the next digit (7) from the dividend after 29, then repeat: 297 / 35

Moving on to step 5:
The number 35 fits into 297 8 times, leaving a remainder of 17.
The number 8 becomes the next digit in our result. 
Result so far: 1668.0
Subtracting 280 from 297 leaves us with 17.
Fetch the next digit (9) from the dividend, attach it to 17 and continue: 179 / 35

Let's proceed to step 6:
35 goes into 179 5 times with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 16685.0
Subtract 175 from 179 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
If we divide 40 by 35, we get 1 and a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 16685.1
If we take 35 away from 40, we end up 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 8:
35 goes into 50 1 times with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 16685.11
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.

The final result is 16685.11 with a remainder of 0.015.