Let's divide 414521 by 34
We're looking to find how many times 34 goes into 414521.

Step 1:
If we divide 4 by 34, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 34

Going ahead to step 2:
If we divide 41 by 34, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 34 from 41 leaves us with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 34

On to step 3:
The number 34 fits into 74 2 times, leaving a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we take 68 away from 74, we end up with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 34

Let's proceed to step 4:
34 can be fit into 65 1 times, resulting in a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 121.0
If we subtract 34 from 65, we get 31.
Grab the next digit (2) from the dividend, add it to 31, then carry on: 312 / 34

On to step 5:
The number 34 fits into 312 9 times, leaving a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 1219.0
Subtracting 306 from 312 leaves us with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 34

Going ahead to step 6:
34 goes into 61 1 times with a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 12191.0
Deduct 34 from 61 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
If we divide 270 by 34, we get 7 and a remainder of 32.
Put 7 as the next digit of the answer. 
Result so far: 12191.7
The remainder is 32 after subtracting 238 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
If we divide 320 by 34, we get 9 and a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 12191.79
The remainder is 14 after subtracting 306 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
34 can be fit into 140 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 12191.794
If we take 136 away from 140, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
34 can be fit into 40 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 12191.7941
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.

On to step 11:
34 can be fit into 60 1 times, resulting in a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 12191.79411
Subtract 34 from 60 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 12191.79411 with a remaining 2.6e-05.