We're dividing 66525 by 79 
We want to figure out the number of times 66525 can be divided by 79.

On to step 1:
The number 79 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 79

Moving on to step 2:
If we divide 66 by 79, we get 0 and a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 66 to get 66.
Bring next digit (5) of the dividend behind the 66 and repeat the process: 665 / 79

Step 3:
When dividing 665 by 79, we get 8 with a remainder of 33.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 632 from 665 and we're left with 33.
Fetch the next digit (2) from the dividend, attach it to 33 and continue: 332 / 79

Going ahead to step 4:
The number 79 fits into 332 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 84.0
Subtracting 316 from 332 leaves us with 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 79

Step 5:
165 divided by 79 is 2 with a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 842.0
Deduct 158 from 165 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 6:
70 divided by 79 is 0 with a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 842.0
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 7:
700 divided by 79 is 8 with a remainder of 68.
The next digit of our result is 8. 
Result so far: 842.08
Subtract 632 from 700 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 8:
79 can be fit into 680 8 times, resulting in a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 842.088
Subtract 632 from 680 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Our division results in 842.088 with a remaining 0.0048.