Let's divide 25438 by 17
We're looking to find how many times 17 goes into 25438.

Let's proceed to step 1:
The number 17 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 17

Advancing to step 2:
17 can be fit into 25 1 times, resulting in a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 17 from 25 and we're left with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 17

Moving on to step 3:
When dividing 84 by 17, we get 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Subtract 68 from 84 to get 16.
Include the next digit (3) from the dividend after 16, then repeat: 163 / 17

Advancing to step 4:
If we divide 163 by 17, we get 9 and a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 149.0
Subtracting 153 from 163 leaves us with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 17

Step 5:
17 can be fit into 108 6 times, resulting in a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 1496.0
Deduct 102 from 108 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 6:
17 can be fit into 60 3 times, resulting in a remainder of 9.
The next digit of our result is 3. 
Result so far: 1496.3
Deduct 51 from 60 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
17 goes into 90 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 1496.35
Deduct 85 from 90 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
17 goes into 50 2 times with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 1496.352
Subtract 34 from 50 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
The number 17 fits into 160 9 times, leaving a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 1496.3529
Deduct 153 from 160 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 10:
70 divided by 17 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 1496.35294
If we subtract 68 from 70, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
20 divided by 17 is 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1496.352941
Deduct 17 from 20 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 12:
If we divide 30 by 17, we get 1 and a remainder of 13.
The next digit of our result is 1. 
Result so far: 1496.3529411
Subtract 17 from 30 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 1496.3529411 with a balance of 1.3e-07.