We look at the division of 769672 by 25 
We're looking to find how many times 25 goes into 769672.

Let's proceed to step 1:
7 divided by 25 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 25

Step 2:
If we divide 76 by 25, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 75 away from 76, we end up with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 25

Moving on to step 3:
25 can be fit into 19 0 times, resulting in a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
If we take 0 away from 19, we end up with 19.
Fetch the next digit (6) from the dividend, attach it to 19 and continue: 196 / 25

Let's proceed to step 4:
If we divide 196 by 25, we get 7 and a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 307.0
Subtracting 175 from 196 leaves us with 21.
Grab the next digit (7) from the dividend, add it to 21, then carry on: 217 / 25

Moving on to step 5:
25 can be fit into 217 8 times, resulting in a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 3078.0
Subtracting 200 from 217 leaves us with 17.
Take the next digit (2) from the dividend and append it to 17, then repeat: 172 / 25

Moving on to step 6:
25 can be fit into 172 6 times, resulting in a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 30786.0
If we subtract 150 from 172, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
25 can be fit into 220 8 times, resulting in a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 30786.8
If we take 200 away from 220, 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.

Moving on to step 8:
25 goes into 200 8 times with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 30786.88
If we take 200 away from 200, 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.

After the division, we end up with 30786.88 and a remainder of 0.0.