We're dividing 25738950 by 682 
We're looking to find how many times 682 goes into 25738950.

Let's proceed to step 1:
If we divide 2 by 682, 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.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 682

Moving on to step 2:
The number 682 fits into 25 0 times, leaving a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 682

Step 3:
When dividing 257 by 682, we get 0 with a remainder of 257.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 257 leaves us with 257.
Take the next digit (3) from the dividend and append it to 257, then repeat: 2573 / 682

Let's proceed to step 4:
The number 682 fits into 2573 3 times, leaving a remainder of 527.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 2046 from 2573 to get 527.
Take the next digit (8) from the dividend and append it to 527, then repeat: 5278 / 682

Step 5:
If we divide 5278 by 682, we get 7 and a remainder of 504.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
If we take 4774 away from 5278, we end up with 504.
Take the next digit (9) from the dividend and append it to 504, then repeat: 5049 / 682

Step 6:
682 can be fit into 5049 7 times, resulting in a remainder of 275.
The next digit of our result is 7. 
Result so far: 377.0
Deduct 4774 from 5049 and we're left with 275.
Fetch the next digit (5) from the dividend, attach it to 275 and continue: 2755 / 682

Moving on to step 7:
682 goes into 2755 4 times with a remainder of 27.
Use 4 as the next digit of our solution. 
Result so far: 3774.0
The remainder is 27 after subtracting 2728 from 2755.
Bring next digit (0) of the dividend behind the 27 and repeat the process: 270 / 682

Moving on to step 8:
682 goes into 270 0 times with a remainder of 270.
Use 0 as the next digit of our solution. 
Result so far: 37740.0
The remainder is 270 after subtracting 0 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

Going ahead to step 9:
2700 divided by 682 is 3 with a remainder of 654.
Record the quotient 3 as the next digit in the result. 
Result so far: 37740.3
Subtract 2046 from 2700 to get 654.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6540, and continue the process.

Going ahead to step 10:
682 goes into 6540 9 times with a remainder of 402.
Record the quotient 9 as the next digit in the result. 
Result so far: 37740.39
If we subtract 6138 from 6540, we get 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

On to step 11:
If we divide 4020 by 682, we get 5 and a remainder of 610.
Put 5 as the next digit of the answer. 
Result so far: 37740.395
Subtracting 3410 from 4020 leaves us with 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6100, and continue the process.

Advancing to step 12:
682 goes into 6100 8 times with a remainder of 644.
Write down 8 as next digit of the result. 
Result so far: 37740.3958
The remainder is 644 after subtracting 5456 from 6100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6440, and continue the process.

Going ahead to step 13:
When dividing 6440 by 682, we get 9 with a remainder of 302.
Record the quotient 9 as the next digit in the result. 
Result so far: 37740.39589
Deduct 6138 from 6440 and we're left with 302.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3020, and continue the process.

Let's proceed to step 14:
If we divide 3020 by 682, we get 4 and a remainder of 292.
The number 4 becomes the next digit in our result. 
Result so far: 37740.395894
If we take 2728 away from 3020, we end up with 292.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2920, and continue the process.

On to step 15:
2920 divided by 682 is 4 with a remainder of 192.
Put 4 as the next digit of the answer. 
Result so far: 37740.3958944
The remainder is 192 after subtracting 2728 from 2920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

The quotient of the division is 37740.3958944, and the remainder is 1.92e-06.