We look at the division of 637843 by 34 
We're looking to find how many times 34 goes into 637843.

Going ahead to step 1:
34 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 34

Moving on to step 2:
The number 34 fits into 63 1 times, leaving a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 34 from 63, we get 29.
Fetch the next digit (7) from the dividend, attach it to 29 and continue: 297 / 34

Let's proceed to step 3:
297 divided by 34 is 8 with a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
Deduct 272 from 297 and we're left with 25.
Include the next digit (8) from the dividend after 25, then repeat: 258 / 34

Step 4:
258 divided by 34 is 7 with a remainder of 20.
The next digit of our result is 7. 
Result so far: 187.0
Subtracting 238 from 258 leaves us with 20.
Bring next digit (4) of the dividend behind the 20 and repeat the process: 204 / 34

Let's proceed to step 5:
204 divided by 34 is 6 with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 1876.0
Subtracting 204 from 204 leaves us with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 34

Moving on to step 6:
34 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 18760.0
Subtracting 0 from 3 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
34 goes into 30 0 times with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 18760.0
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
300 divided by 34 is 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 18760.08
If we subtract 272 from 300, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
The number 34 fits into 280 8 times, leaving a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 18760.088
Deduct 272 from 280 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 18760.088 with a remaining 0.0008.