3517 ÷ 4 
We want to divide 3517 by 4.

Advancing to step 1:
4 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 4

Advancing to step 2:
4 can be fit into 35 8 times, resulting in a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 32 from 35 and we're left with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 4

Going ahead to step 3:
If we divide 31 by 4, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 87.0
Subtracting 28 from 31 leaves us with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 4

On to step 4:
When dividing 37 by 4, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 879.0
If we subtract 36 from 37, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 5:
4 can be fit into 10 2 times, resulting in a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 879.2
Subtract 8 from 10 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 6:
If we divide 20 by 4, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 879.25
The remainder is 0 after subtracting 20 from 20.
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 7:
If we divide 0 by 4, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 879.25
If we take 0 away from 0, we end up 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.

Step 8:
4 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 879.25
Subtracting 0 from 0 leaves us 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.

Our division results in 879.25 with a remaining 0.0.