25684428 divided by 669 
We want to divide 25684428 by 669.

Step 1:
If we divide 2 by 669, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 669

Advancing to step 2:
When dividing 25 by 669, we get 0 with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Fetch the next digit (6) from the dividend, attach it to 25 and continue: 256 / 669

On to step 3:
When dividing 256 by 669, we get 0 with a remainder of 256.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 256 leaves us with 256.
Include the next digit (8) from the dividend after 256, then repeat: 2568 / 669

Step 4:
When dividing 2568 by 669, we get 3 with a remainder of 561.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 2007 from 2568 to get 561.
Fetch the next digit (4) from the dividend, attach it to 561 and continue: 5614 / 669

Going ahead to step 5:
When dividing 5614 by 669, we get 8 with a remainder of 262.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
Subtract 5352 from 5614 to get 262.
Append the next digit (4) from the dividend to 262 and continue with: 2624 / 669

Step 6:
2624 divided by 669 is 3 with a remainder of 617.
Use 3 as the next digit of our solution. 
Result so far: 383.0
Deduct 2007 from 2624 and we're left with 617.
Take the next digit (2) from the dividend and append it to 617, then repeat: 6172 / 669

Moving on to step 7:
6172 divided by 669 is 9 with a remainder of 151.
The next digit of our result is 9. 
Result so far: 3839.0
Deduct 6021 from 6172 and we're left with 151.
Fetch the next digit (8) from the dividend, attach it to 151 and continue: 1518 / 669

Step 8:
If we divide 1518 by 669, we get 2 and a remainder of 180.
Put 2 as the next digit of the answer. 
Result so far: 38392.0
Subtract 1338 from 1518 to get 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Let's proceed to step 9:
The number 669 fits into 1800 2 times, leaving a remainder of 462.
The number 2 becomes the next digit in our result. 
Result so far: 38392.2
If we take 1338 away from 1800, we end up with 462.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4620, and continue the process.

On to step 10:
669 can be fit into 4620 6 times, resulting in a remainder of 606.
The number 6 becomes the next digit in our result. 
Result so far: 38392.26
If we take 4014 away from 4620, we end up with 606.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6060, and continue the process.

Going ahead to step 11:
If we divide 6060 by 669, we get 9 and a remainder of 39.
Write down 9 as next digit of the result. 
Result so far: 38392.269
Subtracting 6021 from 6060 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 12:
If we divide 390 by 669, we get 0 and a remainder of 390.
Write down 0 as next digit of the result. 
Result so far: 38392.269
If we subtract 0 from 390, we get 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

Moving on to step 13:
669 can be fit into 3900 5 times, resulting in a remainder of 555.
Put 5 as the next digit of the answer. 
Result so far: 38392.26905
Subtract 3345 from 3900 to get 555.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5550, and continue the process.

Let's proceed to step 14:
If we divide 5550 by 669, we get 8 and a remainder of 198.
Write down 8 as next digit of the result. 
Result so far: 38392.269058
Subtract 5352 from 5550 to get 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

Going ahead to step 15:
If we divide 1980 by 669, we get 2 and a remainder of 642.
Use 2 as the next digit of our solution. 
Result so far: 38392.2690582
Subtracting 1338 from 1980 leaves us with 642.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6420, and continue the process.

Let's proceed to step 16:
6420 divided by 669 is 9 with a remainder of 399.
Record the quotient 9 as the next digit in the result. 
Result so far: 38392.26905829
If we subtract 6021 from 6420, we get 399.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3990, and continue the process.

In conclusion, the division gives 38392.26905829 with a balance of 3.99e-07.