We look at the division of 641764 by 34 
We want to divide 641764 by 34.

Step 1:
34 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 34

Going ahead to step 2:
34 goes into 64 1 times with a remainder of 30.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 34 from 64 leaves us with 30.
Include the next digit (1) from the dividend after 30, then repeat: 301 / 34

Advancing to step 3:
If we divide 301 by 34, we get 8 and a remainder of 29.
Put 8 as the next digit of the answer. 
Result so far: 18.0
If we take 272 away from 301, we end up with 29.
Grab the next digit (7) from the dividend, add it to 29, then carry on: 297 / 34

Moving on to step 4:
If we divide 297 by 34, we get 8 and a remainder of 25.
Put 8 as the next digit of the answer. 
Result so far: 188.0
If we subtract 272 from 297, we get 25.
Fetch the next digit (6) from the dividend, attach it to 25 and continue: 256 / 34

Moving on to step 5:
If we divide 256 by 34, we get 7 and a remainder of 18.
The next digit of our result is 7. 
Result so far: 1887.0
Subtracting 238 from 256 leaves us with 18.
Grab the next digit (4) from the dividend, add it to 18, then carry on: 184 / 34

Going ahead to step 6:
If we divide 184 by 34, we get 5 and a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 18875.0
The remainder is 14 after subtracting 170 from 184.
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 7:
34 can be fit into 140 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 18875.4
Subtract 136 from 140 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
40 divided by 34 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 18875.41
Deduct 34 from 40 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
When dividing 60 by 34, we get 1 with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 18875.411
If we take 34 away from 60, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 18875.411 with a remainder of 0.0026.