25605768 ÷ 606 
We want to figure out the number of times 25605768 can be divided by 606.

On to step 1:
606 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 606

On to step 2:
606 goes into 25 0 times with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Fetch the next digit (6) from the dividend, attach it to 25 and continue: 256 / 606

On to step 3:
256 divided by 606 is 0 with a remainder of 256.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 256, we end up with 256.
Grab the next digit (0) from the dividend, add it to 256, then carry on: 2560 / 606

Going ahead to step 4:
606 can be fit into 2560 4 times, resulting in a remainder of 136.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 136 after subtracting 2424 from 2560.
Append the next digit (5) from the dividend to 136 and continue with: 1365 / 606

Advancing to step 5:
606 goes into 1365 2 times with a remainder of 153.
The next digit of our result is 2. 
Result so far: 42.0
Deduct 1212 from 1365 and we're left with 153.
Include the next digit (7) from the dividend after 153, then repeat: 1537 / 606

Step 6:
606 goes into 1537 2 times with a remainder of 325.
Record the quotient 2 as the next digit in the result. 
Result so far: 422.0
If we subtract 1212 from 1537, we get 325.
Include the next digit (6) from the dividend after 325, then repeat: 3256 / 606

Going ahead to step 7:
606 can be fit into 3256 5 times, resulting in a remainder of 226.
Write down 5 as next digit of the result. 
Result so far: 4225.0
Deduct 3030 from 3256 and we're left with 226.
Take the next digit (8) from the dividend and append it to 226, then repeat: 2268 / 606

Step 8:
The number 606 fits into 2268 3 times, leaving a remainder of 450.
The number 3 becomes the next digit in our result. 
Result so far: 42253.0
If we subtract 1818 from 2268, we get 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

On to step 9:
The number 606 fits into 4500 7 times, leaving a remainder of 258.
Put 7 as the next digit of the answer. 
Result so far: 42253.7
Subtract 4242 from 4500 to get 258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

Step 10:
2580 divided by 606 is 4 with a remainder of 156.
The number 4 becomes the next digit in our result. 
Result so far: 42253.74
Deduct 2424 from 2580 and we're left with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Moving on to step 11:
606 goes into 1560 2 times with a remainder of 348.
Put 2 as the next digit of the answer. 
Result so far: 42253.742
The remainder is 348 after subtracting 1212 from 1560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

Step 12:
606 goes into 3480 5 times with a remainder of 450.
Use 5 as the next digit of our solution. 
Result so far: 42253.7425
Subtracting 3030 from 3480 leaves us with 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

Step 13:
606 goes into 4500 7 times with a remainder of 258.
Write down 7 as next digit of the result. 
Result so far: 42253.74257
If we take 4242 away from 4500, we end up with 258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

Step 14:
If we divide 2580 by 606, we get 4 and a remainder of 156.
Use 4 as the next digit of our solution. 
Result so far: 42253.742574
Deduct 2424 from 2580 and we're left with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Let's proceed to step 15:
When dividing 1560 by 606, we get 2 with a remainder of 348.
The number 2 becomes the next digit in our result. 
Result so far: 42253.7425742
The remainder is 348 after subtracting 1212 from 1560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

On to step 16:
606 can be fit into 3480 5 times, resulting in a remainder of 450.
Put 5 as the next digit of the answer. 
Result so far: 42253.74257425
Deduct 3030 from 3480 and we're left with 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

The quotient of the division is 42253.74257425, and the remainder is 4.5e-07.