We divide 641006 by 25
Our goal is to divide 641006 by 25.

Going ahead to step 1:
25 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 25

Step 2:
If we divide 64 by 25, we get 2 and a remainder of 14.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 50 from 64 to get 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 25

Advancing to step 3:
If we divide 141 by 25, we get 5 and a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
Subtract 125 from 141 to get 16.
Append the next digit (0) from the dividend to 16 and continue with: 160 / 25

Advancing to step 4:
25 can be fit into 160 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 256.0
Deduct 150 from 160 and we're left with 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 25

On to step 5:
100 divided by 25 is 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 2564.0
Deduct 100 from 100 and we're left with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 25

Step 6:
6 divided by 25 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 25640.0
Subtracting 0 from 6 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
60 divided by 25 is 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 25640.2
If we subtract 50 from 60, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
25 goes into 100 4 times with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 25640.24
Deduct 100 from 100 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
When dividing 0 by 25, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 25640.24
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
25 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 25640.24
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 25640.24, and the remainder is 0.0.