We're dividing 712825 by 65 
We're looking to find how many times 65 goes into 712825.

Let's proceed to step 1:
The number 65 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 65

Let's proceed to step 2:
65 goes into 71 1 times with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 65 from 71, we get 6.
Fetch the next digit (2) from the dividend, attach it to 6 and continue: 62 / 65

On to step 3:
The number 65 fits into 62 0 times, leaving a remainder of 62.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 62 to get 62.
Grab the next digit (8) from the dividend, add it to 62, then carry on: 628 / 65

Going ahead to step 4:
If we divide 628 by 65, we get 9 and a remainder of 43.
The next digit of our result is 9. 
Result so far: 109.0
If we take 585 away from 628, we end up with 43.
Bring next digit (2) of the dividend behind the 43 and repeat the process: 432 / 65

Let's proceed to step 5:
432 divided by 65 is 6 with a remainder of 42.
Use 6 as the next digit of our solution. 
Result so far: 1096.0
Deduct 390 from 432 and we're left with 42.
Grab the next digit (5) from the dividend, add it to 42, then carry on: 425 / 65

Moving on to step 6:
If we divide 425 by 65, we get 6 and a remainder of 35.
Write down 6 as next digit of the result. 
Result so far: 10966.0
If we subtract 390 from 425, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 7:
When dividing 350 by 65, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 10966.5
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
If we divide 250 by 65, we get 3 and a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 10966.53
Deduct 195 from 250 and we're left with 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 9:
65 can be fit into 550 8 times, resulting in a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 10966.538
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.

Step 10:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 10966.5384
If we take 260 away from 300, we end up 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.

Advancing to step 11:
65 goes into 400 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 10966.53846
Subtract 390 from 400 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
When dividing 100 by 65, we get 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 10966.538461
Subtracting 65 from 100 leaves us 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 13:
65 can be fit into 350 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 10966.5384615
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.

Step 14:
65 can be fit into 250 3 times, resulting in a remainder of 55.
The next digit of our result is 3. 
Result so far: 10966.53846153
Deduct 195 from 250 and we're left with 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 10966.53846153, and the remainder is 5.5e-08.