25737342 ÷ 557 
We want to figure out the number of times 25737342 can be divided by 557.

Let's proceed to step 1:
2 divided by 557 is 0 with 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.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 557

Let's proceed to step 2:
25 divided by 557 is 0 with a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Take the next digit (7) from the dividend and append it to 25, then repeat: 257 / 557

Moving on to step 3:
257 divided by 557 is 0 with a remainder of 257.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 257 after subtracting 0 from 257.
Append the next digit (3) from the dividend to 257 and continue with: 2573 / 557

Moving on to step 4:
If we divide 2573 by 557, we get 4 and a remainder of 345.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 2228 from 2573 leaves us with 345.
Include the next digit (7) from the dividend after 345, then repeat: 3457 / 557

On to step 5:
3457 divided by 557 is 6 with a remainder of 115.
The next digit of our result is 6. 
Result so far: 46.0
Deduct 3342 from 3457 and we're left with 115.
Fetch the next digit (3) from the dividend, attach it to 115 and continue: 1153 / 557

Going ahead to step 6:
557 goes into 1153 2 times with a remainder of 39.
The number 2 becomes the next digit in our result. 
Result so far: 462.0
Subtract 1114 from 1153 to get 39.
Append the next digit (4) from the dividend to 39 and continue with: 394 / 557

On to step 7:
394 divided by 557 is 0 with a remainder of 394.
The number 0 becomes the next digit in our result. 
Result so far: 4620.0
The remainder is 394 after subtracting 0 from 394.
Fetch the next digit (2) from the dividend, attach it to 394 and continue: 3942 / 557

Moving on to step 8:
If we divide 3942 by 557, we get 7 and a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 46207.0
The remainder is 43 after subtracting 3899 from 3942.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 9:
The number 557 fits into 430 0 times, leaving a remainder of 430.
Record the quotient 0 as the next digit in the result. 
Result so far: 46207.0
Subtract 0 from 430 to get 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

Moving on to step 10:
4300 divided by 557 is 7 with a remainder of 401.
Use 7 as the next digit of our solution. 
Result so far: 46207.07
Deduct 3899 from 4300 and we're left with 401.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4010, and continue the process.

Advancing to step 11:
4010 divided by 557 is 7 with a remainder of 111.
Record the quotient 7 as the next digit in the result. 
Result so far: 46207.077
Subtract 3899 from 4010 to get 111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1110, and continue the process.

In conclusion, the division gives 46207.077 with a balance of 0.0111.