We divide 25119 by 34
We want to figure out the number of times 25119 can be divided by 34.

Let's proceed to step 1:
2 divided by 34 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 34

Going ahead to step 2:
When dividing 25 by 34, we get 0 with a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Include the next digit (1) from the dividend after 25, then repeat: 251 / 34

Moving on to step 3:
The number 34 fits into 251 7 times, leaving a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 238 from 251 and we're left with 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 34

Step 4:
When dividing 131 by 34, we get 3 with a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 73.0
Subtracting 102 from 131 leaves us with 29.
Bring next digit (9) of the dividend behind the 29 and repeat the process: 299 / 34

Moving on to step 5:
34 can be fit into 299 8 times, resulting in a remainder of 27.
Write down 8 as next digit of the result. 
Result so far: 738.0
If we subtract 272 from 299, we 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.

Let's proceed to step 6:
270 divided by 34 is 7 with a remainder of 32.
Write down 7 as next digit of the result. 
Result so far: 738.7
If we subtract 238 from 270, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 7:
34 can be fit into 320 9 times, resulting in a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 738.79
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.

Going ahead to step 8:
When dividing 140 by 34, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 738.794
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.

Advancing to step 9:
If we divide 40 by 34, we get 1 and a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 738.7941
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.

On to step 10:
When dividing 60 by 34, we get 1 with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 738.79411
If we take 34 away from 60, we end up 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 quotient of the division is 738.79411, and the remainder is 2.6e-05.