Let's divide 34576 by 65
We want to divide 34576 by 65.

Going ahead to step 1:
When dividing 3 by 65, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 65

Going ahead to step 2:
When dividing 34 by 65, we get 0 with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Grab the next digit (5) from the dividend, add it to 34, then carry on: 345 / 65

On to step 3:
When dividing 345 by 65, we get 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 325 from 345 and we're left with 20.
Include the next digit (7) from the dividend after 20, then repeat: 207 / 65

Advancing to step 4:
65 goes into 207 3 times with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 53.0
The remainder is 12 after subtracting 195 from 207.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 65

Advancing to step 5:
126 divided by 65 is 1 with a remainder of 61.
Use 1 as the next digit of our solution. 
Result so far: 531.0
Deduct 65 from 126 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 6:
65 can be fit into 610 9 times, resulting in a remainder of 25.
The next digit of our result is 9. 
Result so far: 531.9
Deduct 585 from 610 and we're left 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.

On to step 7:
65 goes into 250 3 times with a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 531.93
The remainder is 55 after subtracting 195 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 8:
When dividing 550 by 65, we get 8 with a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 531.938
If we take 520 away from 550, we end up with 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 9:
65 goes into 300 4 times with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 531.9384
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.

Let's proceed to step 10:
When dividing 400 by 65, we get 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 531.93846
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 531.938461
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 12:
If we divide 350 by 65, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 531.9384615
Deduct 325 from 350 and we're left 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 13:
65 can be fit into 250 3 times, resulting in a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 531.93846153
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.

The quotient of the division is 531.93846153, and the remainder is 5.5e-08.