4037 ÷ 17 
We're looking to find how many times 17 goes into 4037.

Step 1:
4 divided by 17 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 17

Advancing to step 2:
When dividing 40 by 17, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 34 from 40, we get 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 17

Moving on to step 3:
If we divide 63 by 17, we get 3 and a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 23.0
Deduct 51 from 63 and we're left with 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 17

Let's proceed to step 4:
If we divide 127 by 17, we get 7 and a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 237.0
Subtract 119 from 127 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 5:
80 divided by 17 is 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 237.4
Subtract 68 from 80 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 6:
If we divide 120 by 17, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 237.47
Deduct 119 from 120 and we're left 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.

Step 7:
10 divided by 17 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 237.47
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
When dividing 100 by 17, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 237.4705
If we take 85 away from 100, we end up 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.

Let's proceed to step 9:
If we divide 150 by 17, we get 8 and a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 237.47058
Subtracting 136 from 150 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
The number 17 fits into 140 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 237.470588
Deduct 136 from 140 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 237.470588, and the remainder is 4e-07.