We look at the division of 101641 by 34 
We want to figure out the number of times 101641 can be divided by 34.

Going ahead to step 1:
If we divide 1 by 34, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 34

On to step 2:
When dividing 10 by 34, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 34

Step 3:
34 can be fit into 101 2 times, resulting in a remainder of 33.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 68 away from 101, we end up with 33.
Grab the next digit (6) from the dividend, add it to 33, then carry on: 336 / 34

Let's proceed to step 4:
34 goes into 336 9 times with a remainder of 30.
Write down 9 as next digit of the result. 
Result so far: 29.0
Subtract 306 from 336 to get 30.
Fetch the next digit (4) from the dividend, attach it to 30 and continue: 304 / 34

Step 5:
304 divided by 34 is 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 298.0
If we subtract 272 from 304, we get 32.
Append the next digit (1) from the dividend to 32 and continue with: 321 / 34

Going ahead to step 6:
34 can be fit into 321 9 times, resulting in a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 2989.0
Subtracting 306 from 321 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.

Let's proceed to step 7:
When dividing 150 by 34, we get 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 2989.4
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 8:
34 can be fit into 140 4 times, resulting in a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 2989.44
If we subtract 136 from 140, we 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.

The final outcome is 2989.44, with a leftover of 0.004.