Let's divide 176121 by 65
We want to figure out the number of times 176121 can be divided by 65.

Advancing to step 1:
65 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 65

Step 2:
17 divided by 65 is 0 with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Grab the next digit (6) from the dividend, add it to 17, then carry on: 176 / 65

Let's proceed to step 3:
If we divide 176 by 65, we get 2 and a remainder of 46.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 130 from 176, we get 46.
Include the next digit (1) from the dividend after 46, then repeat: 461 / 65

Moving on to step 4:
461 divided by 65 is 7 with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
Subtract 455 from 461 to get 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 65

Step 5:
When dividing 62 by 65, we get 0 with a remainder of 62.
Write down 0 as next digit of the result. 
Result so far: 270.0
If we subtract 0 from 62, we get 62.
Bring next digit (1) of the dividend behind the 62 and repeat the process: 621 / 65

Moving on to step 6:
When dividing 621 by 65, we get 9 with a remainder of 36.
The number 9 becomes the next digit in our result. 
Result so far: 2709.0
If we take 585 away from 621, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 7:
65 goes into 360 5 times with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 2709.5
The remainder is 35 after subtracting 325 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
65 goes into 350 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 2709.55
If we subtract 325 from 350, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 2709.55 with a remaining 0.025.