Let's divide 257222 by 65
We want to figure out the number of times 257222 can be divided by 65.

Moving on to step 1:
65 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 65

Advancing to step 2:
25 divided by 65 is 0 with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 65

Advancing to step 3:
257 divided by 65 is 3 with a remainder of 62.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 195 from 257 and we're left with 62.
Fetch the next digit (2) from the dividend, attach it to 62 and continue: 622 / 65

Let's proceed to step 4:
The number 65 fits into 622 9 times, leaving a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
Subtract 585 from 622 to get 37.
Include the next digit (2) from the dividend after 37, then repeat: 372 / 65

Step 5:
65 goes into 372 5 times with a remainder of 47.
Use 5 as the next digit of our solution. 
Result so far: 395.0
If we take 325 away from 372, we end up with 47.
Grab the next digit (2) from the dividend, add it to 47, then carry on: 472 / 65

On to step 6:
When dividing 472 by 65, we get 7 with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 3957.0
Subtracting 455 from 472 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
The number 65 fits into 170 2 times, leaving a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 3957.2
If we take 130 away from 170, 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 8:
When dividing 400 by 65, we get 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 3957.26
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.

Advancing to step 9:
If we divide 100 by 65, we get 1 and a remainder of 35.
The next digit of our result is 1. 
Result so far: 3957.261
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.

Advancing to step 10:
If we divide 350 by 65, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 3957.2615
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.

On to step 11:
65 can be fit into 250 3 times, resulting in a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 3957.26153
Subtract 195 from 250 to 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:
When dividing 550 by 65, we get 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 3957.261538
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:
The number 65 fits into 300 4 times, leaving a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 3957.2615384
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 14:
65 can be fit into 400 6 times, resulting in a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 3957.26153846
Deduct 390 from 400 and we're left 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.

The final outcome is 3957.26153846, with a leftover of 1e-08.