We look at the division of 535307 by 25 
We want to divide 535307 by 25.

Let's proceed to step 1:
The number 25 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 25

Moving on to step 2:
When dividing 53 by 25, we get 2 with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 50 from 53 to get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 25

Let's proceed to step 3:
The number 25 fits into 35 1 times, leaving a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
If we subtract 25 from 35, we get 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 25

On to step 4:
25 can be fit into 103 4 times, resulting in a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 214.0
The remainder is 3 after subtracting 100 from 103.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 25

On to step 5:
30 divided by 25 is 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 2141.0
Subtract 25 from 30 to get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 25

Advancing to step 6:
When dividing 57 by 25, we get 2 with a remainder of 7.
The next digit of our result is 2. 
Result so far: 21412.0
If we subtract 50 from 57, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
25 goes into 70 2 times with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 21412.2
If we take 50 away from 70, 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.

Let's proceed to step 8:
25 goes into 200 8 times with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 21412.28
If we subtract 200 from 200, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 21412.28
If we take 0 away from 0, we end up 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.

On to step 10:
25 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 21412.28
Subtracting 0 from 0 leaves us 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 21412.28, and the remainder is 0.0.