We're dividing 17037 by 4 
We're looking to find how many times 4 goes into 17037.

On to step 1:
If we divide 1 by 4, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 4

Let's proceed to step 2:
4 goes into 17 4 times with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 16 from 17 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 4

Let's proceed to step 3:
If we divide 10 by 4, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Deduct 8 from 10 and we're left with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 4

Moving on to step 4:
4 can be fit into 23 5 times, resulting in a remainder of 3.
The next digit of our result is 5. 
Result so far: 425.0
If we subtract 20 from 23, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 4

On to step 5:
4 goes into 37 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 4259.0
If we take 36 away from 37, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 6:
10 divided by 4 is 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 4259.2
Subtracting 8 from 10 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
4 can be fit into 20 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 4259.25
Subtract 20 from 20 to get 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:
When dividing 0 by 4, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4259.25
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
0 divided by 4 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4259.25
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 4259.25, and the remainder is 0.0.