Let's divide 53667 by 65
We're looking to find how many times 65 goes into 53667.

Step 1:
If we divide 5 by 65, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 65

Let's proceed to step 2:
If we divide 53 by 65, we get 0 and a remainder of 53.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 53, we end up with 53.
Bring next digit (6) of the dividend behind the 53 and repeat the process: 536 / 65

Moving on to step 3:
536 divided by 65 is 8 with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 16 after subtracting 520 from 536.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 65

Moving on to step 4:
If we divide 166 by 65, we get 2 and a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 82.0
The remainder is 36 after subtracting 130 from 166.
Grab the next digit (7) from the dividend, add it to 36, then carry on: 367 / 65

Step 5:
65 goes into 367 5 times with a remainder of 42.
The number 5 becomes the next digit in our result. 
Result so far: 825.0
Subtract 325 from 367 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 6:
If we divide 420 by 65, we get 6 and a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 825.6
The remainder is 30 after subtracting 390 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
The number 65 fits into 300 4 times, leaving a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 825.64
Subtracting 260 from 300 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
If we divide 400 by 65, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 825.646
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
100 divided by 65 is 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 825.6461
The remainder is 35 after subtracting 65 from 100.
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 10:
When dividing 350 by 65, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 825.64615
Subtracting 325 from 350 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 11:
65 goes into 250 3 times with a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 825.646153
If we subtract 195 from 250, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 12:
The number 65 fits into 550 8 times, leaving a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 825.6461538
If we subtract 520 from 550, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 825.64615384
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 825.64615384, and the remainder is 4e-08.