We're dividing 82175767 by 257 
We want to figure out the number of times 82175767 can be divided by 257.

Going ahead to step 1:
257 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 257

On to step 2:
When dividing 82 by 257, we get 0 with a remainder of 82.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 82 and we're left with 82.
Append the next digit (1) from the dividend to 82 and continue with: 821 / 257

Going ahead to step 3:
If we divide 821 by 257, we get 3 and a remainder of 50.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 771 from 821, we get 50.
Take the next digit (7) from the dividend and append it to 50, then repeat: 507 / 257

On to step 4:
257 goes into 507 1 times with a remainder of 250.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
The remainder is 250 after subtracting 257 from 507.
Append the next digit (5) from the dividend to 250 and continue with: 2505 / 257

On to step 5:
The number 257 fits into 2505 9 times, leaving a remainder of 192.
Use 9 as the next digit of our solution. 
Result so far: 319.0
Subtract 2313 from 2505 to get 192.
Include the next digit (7) from the dividend after 192, then repeat: 1927 / 257

Going ahead to step 6:
257 can be fit into 1927 7 times, resulting in a remainder of 128.
Record the quotient 7 as the next digit in the result. 
Result so far: 3197.0
Subtracting 1799 from 1927 leaves us with 128.
Fetch the next digit (6) from the dividend, attach it to 128 and continue: 1286 / 257

Advancing to step 7:
257 goes into 1286 5 times with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 31975.0
If we subtract 1285 from 1286, we get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 257

Advancing to step 8:
When dividing 17 by 257, we get 0 with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 319750.0
Subtracting 0 from 17 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.

On to step 9:
257 can be fit into 170 0 times, resulting in a remainder of 170.
Record the quotient 0 as the next digit in the result. 
Result so far: 319750.0
If we subtract 0 from 170, we get 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

On to step 10:
The number 257 fits into 1700 6 times, leaving a remainder of 158.
Use 6 as the next digit of our solution. 
Result so far: 319750.06
The remainder is 158 after subtracting 1542 from 1700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1580, and continue the process.

Going ahead to step 11:
257 goes into 1580 6 times with a remainder of 38.
Put 6 as the next digit of the answer. 
Result so far: 319750.066
Subtract 1542 from 1580 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The quotient of the division is 319750.066, and the remainder is 0.0038.