419825 ÷ 34 
We want to divide 419825 by 34.

Going ahead to step 1:
34 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 34

Let's proceed to step 2:
If we divide 41 by 34, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 34 from 41 to get 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 34

Going ahead to step 3:
If we divide 79 by 34, we get 2 and a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 68 from 79 leaves us with 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 34

Step 4:
118 divided by 34 is 3 with a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 123.0
If we take 102 away from 118, we end up with 16.
Fetch the next digit (2) from the dividend, attach it to 16 and continue: 162 / 34

On to step 5:
If we divide 162 by 34, we get 4 and a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 1234.0
Deduct 136 from 162 and we're left with 26.
Fetch the next digit (5) from the dividend, attach it to 26 and continue: 265 / 34

Going ahead to step 6:
265 divided by 34 is 7 with a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 12347.0
Subtract 238 from 265 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 7:
270 divided by 34 is 7 with a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 12347.7
If we take 238 away from 270, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
The number 34 fits into 320 9 times, leaving a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 12347.79
Subtracting 306 from 320 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.

Step 9:
The number 34 fits into 140 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 12347.794
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.

Let's proceed to step 10:
When dividing 40 by 34, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 12347.7941
If we subtract 34 from 40, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
The number 34 fits into 60 1 times, leaving a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 12347.79411
Deduct 34 from 60 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final outcome is 12347.79411, with a leftover of 2.6e-05.