We look at the division of 457438 by 34 
We want to figure out the number of times 457438 can be divided by 34.

Going ahead to step 1:
The number 34 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 34

Going ahead to step 2:
34 goes into 45 1 times with a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 34 from 45 and we're left with 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 34

Let's proceed to step 3:
117 divided by 34 is 3 with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 13.0
The remainder is 15 after subtracting 102 from 117.
Grab the next digit (4) from the dividend, add it to 15, then carry on: 154 / 34

Going ahead to step 4:
154 divided by 34 is 4 with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 134.0
If we subtract 136 from 154, we get 18.
Grab the next digit (3) from the dividend, add it to 18, then carry on: 183 / 34

Going ahead to step 5:
183 divided by 34 is 5 with a remainder of 13.
Use 5 as the next digit of our solution. 
Result so far: 1345.0
The remainder is 13 after subtracting 170 from 183.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 34

Advancing to step 6:
34 can be fit into 138 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 13454.0
If we take 136 away from 138, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
34 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 13454.0
Deduct 0 from 20 and we're left 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.

Step 8:
The number 34 fits into 200 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 13454.05
Subtract 170 from 200 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
34 can be fit into 300 8 times, resulting in a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 13454.058
Subtract 272 from 300 to 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 10:
280 divided by 34 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 13454.0588
Subtracting 272 from 280 leaves us 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.

After the division, we end up with 13454.0588 and a remainder of 8e-05.