We're dividing 25978400 by 523 
We're looking to find how many times 523 goes into 25978400.

Step 1:
If we divide 2 by 523, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
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 / 523

Moving on to step 2:
523 can be fit into 25 0 times, resulting in a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 523

Going ahead to step 3:
The number 523 fits into 259 0 times, leaving a remainder of 259.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 259, we get 259.
Append the next digit (7) from the dividend to 259 and continue with: 2597 / 523

Moving on to step 4:
523 goes into 2597 4 times with a remainder of 505.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 2092 from 2597 leaves us with 505.
Take the next digit (8) from the dividend and append it to 505, then repeat: 5058 / 523

Moving on to step 5:
The number 523 fits into 5058 9 times, leaving a remainder of 351.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
Deduct 4707 from 5058 and we're left with 351.
Append the next digit (4) from the dividend to 351 and continue with: 3514 / 523

Step 6:
The number 523 fits into 3514 6 times, leaving a remainder of 376.
The number 6 becomes the next digit in our result. 
Result so far: 496.0
Subtracting 3138 from 3514 leaves us with 376.
Bring next digit (0) of the dividend behind the 376 and repeat the process: 3760 / 523

Going ahead to step 7:
When dividing 3760 by 523, we get 7 with a remainder of 99.
The number 7 becomes the next digit in our result. 
Result so far: 4967.0
Subtract 3661 from 3760 to get 99.
Take the next digit (0) from the dividend and append it to 99, then repeat: 990 / 523

Moving on to step 8:
When dividing 990 by 523, we get 1 with a remainder of 467.
Use 1 as the next digit of our solution. 
Result so far: 49671.0
Subtracting 523 from 990 leaves us with 467.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4670, and continue the process.

Let's proceed to step 9:
523 goes into 4670 8 times with a remainder of 486.
Write down 8 as next digit of the result. 
Result so far: 49671.8
Deduct 4184 from 4670 and we're left with 486.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4860, and continue the process.

Let's proceed to step 10:
523 can be fit into 4860 9 times, resulting in a remainder of 153.
Put 9 as the next digit of the answer. 
Result so far: 49671.89
If we subtract 4707 from 4860, we get 153.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1530, and continue the process.

Step 11:
If we divide 1530 by 523, we get 2 and a remainder of 484.
The number 2 becomes the next digit in our result. 
Result so far: 49671.892
Subtract 1046 from 1530 to get 484.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4840, and continue the process.

Step 12:
4840 divided by 523 is 9 with a remainder of 133.
Use 9 as the next digit of our solution. 
Result so far: 49671.8929
If we take 4707 away from 4840, we end up with 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

Step 13:
523 can be fit into 1330 2 times, resulting in a remainder of 284.
The number 2 becomes the next digit in our result. 
Result so far: 49671.89292
Subtract 1046 from 1330 to get 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

Advancing to step 14:
The number 523 fits into 2840 5 times, leaving a remainder of 225.
Use 5 as the next digit of our solution. 
Result so far: 49671.892925
Subtracting 2615 from 2840 leaves us with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Moving on to step 15:
523 goes into 2250 4 times with a remainder of 158.
The next digit of our result is 4. 
Result so far: 49671.8929254
Subtract 2092 from 2250 to get 158.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1580, and continue the process.

Moving on to step 16:
When dividing 1580 by 523, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 49671.89292543
Deduct 1569 from 1580 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final outcome is 49671.89292543, with a leftover of 1.1e-08.