We're dividing 25010400 by 338 
We're looking to find how many times 338 goes into 25010400.

Advancing to step 1:
If we divide 2 by 338, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 338

Moving on to step 2:
25 divided by 338 is 0 with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Include the next digit (0) from the dividend after 25, then repeat: 250 / 338

Going ahead to step 3:
When dividing 250 by 338, we get 0 with a remainder of 250.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 250 leaves us with 250.
Fetch the next digit (1) from the dividend, attach it to 250 and continue: 2501 / 338

Going ahead to step 4:
When dividing 2501 by 338, we get 7 with a remainder of 135.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 135 after subtracting 2366 from 2501.
Bring next digit (0) of the dividend behind the 135 and repeat the process: 1350 / 338

Step 5:
The number 338 fits into 1350 3 times, leaving a remainder of 336.
Put 3 as the next digit of the answer. 
Result so far: 73.0
If we subtract 1014 from 1350, we get 336.
Take the next digit (4) from the dividend and append it to 336, then repeat: 3364 / 338

Let's proceed to step 6:
If we divide 3364 by 338, we get 9 and a remainder of 322.
The number 9 becomes the next digit in our result. 
Result so far: 739.0
Subtracting 3042 from 3364 leaves us with 322.
Bring next digit (0) of the dividend behind the 322 and repeat the process: 3220 / 338

On to step 7:
If we divide 3220 by 338, we get 9 and a remainder of 178.
Use 9 as the next digit of our solution. 
Result so far: 7399.0
Subtract 3042 from 3220 to get 178.
Include the next digit (0) from the dividend after 178, then repeat: 1780 / 338

Advancing to step 8:
If we divide 1780 by 338, we get 5 and a remainder of 90.
Use 5 as the next digit of our solution. 
Result so far: 73995.0
Subtracting 1690 from 1780 leaves us with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

On to step 9:
When dividing 900 by 338, we get 2 with a remainder of 224.
Use 2 as the next digit of our solution. 
Result so far: 73995.2
Deduct 676 from 900 and we're left with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Step 10:
338 goes into 2240 6 times with a remainder of 212.
Write down 6 as next digit of the result. 
Result so far: 73995.26
Deduct 2028 from 2240 and we're left with 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

Going ahead to step 11:
When dividing 2120 by 338, we get 6 with a remainder of 92.
Use 6 as the next digit of our solution. 
Result so far: 73995.266
Subtract 2028 from 2120 to get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

The final result is 73995.266 with a remainder of 0.0092.