We look at the division of 917421 by 25 
We're looking to find how many times 25 goes into 917421.

On to step 1:
When dividing 9 by 25, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 25

Moving on to step 2:
If we divide 91 by 25, we get 3 and a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 75 from 91, we get 16.
Include the next digit (7) from the dividend after 16, then repeat: 167 / 25

Advancing to step 3:
25 can be fit into 167 6 times, resulting in a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 36.0
If we take 150 away from 167, we end up with 17.
Take the next digit (4) from the dividend and append it to 17, then repeat: 174 / 25

Let's proceed to step 4:
The number 25 fits into 174 6 times, leaving a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 366.0
If we subtract 150 from 174, we get 24.
Bring next digit (2) of the dividend behind the 24 and repeat the process: 242 / 25

Moving on to step 5:
When dividing 242 by 25, we get 9 with a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 3669.0
If we take 225 away from 242, we end up with 17.
Take the next digit (1) from the dividend and append it to 17, then repeat: 171 / 25

On to step 6:
When dividing 171 by 25, we get 6 with a remainder of 21.
The number 6 becomes the next digit in our result. 
Result so far: 36696.0
Subtracting 150 from 171 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
The number 25 fits into 210 8 times, leaving a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 36696.8
If we take 200 away from 210, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
If we divide 100 by 25, we get 4 and a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 36696.84
The remainder is 0 after subtracting 100 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
When dividing 0 by 25, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 36696.84
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.

On to step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 36696.84
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 36696.84, and the remainder is 0.0.