We're dividing 145574 by 34 
Let's see how many times 34 fits into 145574.

Moving on to step 1:
1 divided by 34 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 34

Advancing to step 2:
The number 34 fits into 14 0 times, leaving a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 34

On to step 3:
When dividing 145 by 34, we get 4 with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 136 from 145 and we're left with 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 34

Moving on to step 4:
When dividing 95 by 34, we get 2 with a remainder of 27.
Put 2 as the next digit of the answer. 
Result so far: 42.0
If we take 68 away from 95, we end up with 27.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 34

Let's proceed to step 5:
If we divide 277 by 34, we get 8 and a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 428.0
Deduct 272 from 277 and we're left with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 34

Step 6:
If we divide 54 by 34, we get 1 and a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 4281.0
If we subtract 34 from 54, we get 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 7:
When dividing 200 by 34, we get 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 4281.5
The remainder is 30 after subtracting 170 from 200.
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 8:
The number 34 fits into 300 8 times, leaving a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 4281.58
If we take 272 away from 300, we end up with 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:
280 divided by 34 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 4281.588
Subtract 272 from 280 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 4281.588, and the remainder is 0.0008.