We're dividing 307837 by 17 
Our goal is to divide 307837 by 17.

Step 1:
When dividing 3 by 17, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 17

Going ahead to step 2:
30 divided by 17 is 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 13 after subtracting 17 from 30.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 17

Moving on to step 3:
17 can be fit into 137 8 times, resulting in a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 18.0
The remainder is 1 after subtracting 136 from 137.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 17

Advancing to step 4:
18 divided by 17 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 181.0
Subtract 17 from 18 to get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 17

Moving on to step 5:
When dividing 13 by 17, we get 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 1810.0
Deduct 0 from 13 and we're left with 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 17

Moving on to step 6:
137 divided by 17 is 8 with a remainder of 1.
The next digit of our result is 8. 
Result so far: 18108.0
If we take 136 away from 137, 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.

Moving on to step 7:
17 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 18108.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 17 fits into 100 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 18108.05
Subtracting 85 from 100 leaves us 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.

Advancing to step 9:
If we divide 150 by 17, we get 8 and a remainder of 14.
The next digit of our result is 8. 
Result so far: 18108.058
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.

On to step 10:
If we divide 140 by 17, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 18108.0588
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 18108.0588 with a remaining 4e-05.