Let's divide 421627 by 25
We're looking to find how many times 25 goes into 421627.

Step 1:
The number 25 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 25

Advancing to step 2:
If we divide 42 by 25, we get 1 and a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 25 from 42 leaves us with 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 25

On to step 3:
171 divided by 25 is 6 with a remainder of 21.
The next digit of our result is 6. 
Result so far: 16.0
Subtract 150 from 171 to get 21.
Append the next digit (6) from the dividend to 21 and continue with: 216 / 25

Let's proceed to step 4:
If we divide 216 by 25, we get 8 and a remainder of 16.
The next digit of our result is 8. 
Result so far: 168.0
If we take 200 away from 216, we end up with 16.
Append the next digit (2) from the dividend to 16 and continue with: 162 / 25

Let's proceed to step 5:
25 goes into 162 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 1686.0
Subtract 150 from 162 to get 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 25

Advancing to step 6:
If we divide 127 by 25, we get 5 and a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 16865.0
If we take 125 away from 127, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
20 divided by 25 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 16865.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
25 can be fit into 200 8 times, resulting in a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 16865.08
Deduct 200 from 200 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.

Advancing to step 9:
0 divided by 25 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 16865.08
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
25 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 16865.08
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.

Our division results in 16865.08 with a remaining 0.0.