Let's divide 458101 by 34
We're looking to find how many times 34 goes into 458101.

Going ahead to step 1:
34 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 34

Moving on to step 2:
34 goes into 45 1 times with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 34 from 45 leaves us with 11.
Bring next digit (8) of the dividend behind the 11 and repeat the process: 118 / 34

Going ahead to step 3:
When dividing 118 by 34, we get 3 with a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 102 from 118 to get 16.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 34

Going ahead to step 4:
The number 34 fits into 161 4 times, leaving a remainder of 25.
The next digit of our result is 4. 
Result so far: 134.0
Subtract 136 from 161 to get 25.
Grab the next digit (0) from the dividend, add it to 25, then carry on: 250 / 34

Let's proceed to step 5:
34 can be fit into 250 7 times, resulting in a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 1347.0
If we subtract 238 from 250, we get 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 34

Step 6:
When dividing 121 by 34, we get 3 with a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 13473.0
The remainder is 19 after subtracting 102 from 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
If we divide 190 by 34, we get 5 and a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 13473.5
Subtracting 170 from 190 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
34 can be fit into 200 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 13473.55
Subtracting 170 from 200 leaves us 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.

The final result is 13473.55 with a remainder of 0.03.