We look at the division of 71100773 by 257 
Our goal is to divide 71100773 by 257.

Moving on to step 1:
257 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 257

Advancing to step 2:
The number 257 fits into 71 0 times, leaving a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 71, we end up with 71.
Append the next digit (1) from the dividend to 71 and continue with: 711 / 257

Going ahead to step 3:
711 divided by 257 is 2 with a remainder of 197.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 197 after subtracting 514 from 711.
Take the next digit (0) from the dividend and append it to 197, then repeat: 1970 / 257

On to step 4:
The number 257 fits into 1970 7 times, leaving a remainder of 171.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
Subtract 1799 from 1970 to get 171.
Take the next digit (0) from the dividend and append it to 171, then repeat: 1710 / 257

Advancing to step 5:
When dividing 1710 by 257, we get 6 with a remainder of 168.
The next digit of our result is 6. 
Result so far: 276.0
Subtract 1542 from 1710 to get 168.
Fetch the next digit (7) from the dividend, attach it to 168 and continue: 1687 / 257

On to step 6:
1687 divided by 257 is 6 with a remainder of 145.
Use 6 as the next digit of our solution. 
Result so far: 2766.0
If we subtract 1542 from 1687, we get 145.
Include the next digit (7) from the dividend after 145, then repeat: 1457 / 257

Step 7:
257 can be fit into 1457 5 times, resulting in a remainder of 172.
The next digit of our result is 5. 
Result so far: 27665.0
The remainder is 172 after subtracting 1285 from 1457.
Bring next digit (3) of the dividend behind the 172 and repeat the process: 1723 / 257

On to step 8:
257 can be fit into 1723 6 times, resulting in a remainder of 181.
The next digit of our result is 6. 
Result so far: 276656.0
Deduct 1542 from 1723 and we're left with 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

Moving on to step 9:
257 goes into 1810 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 276656.7
The remainder is 11 after subtracting 1799 from 1810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 10:
If we divide 110 by 257, we get 0 and a remainder of 110.
The number 0 becomes the next digit in our result. 
Result so far: 276656.7
The remainder is 110 after subtracting 0 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

On to step 11:
1100 divided by 257 is 4 with a remainder of 72.
Use 4 as the next digit of our solution. 
Result so far: 276656.704
Subtract 1028 from 1100 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 12:
257 can be fit into 720 2 times, resulting in a remainder of 206.
Record the quotient 2 as the next digit in the result. 
Result so far: 276656.7042
If we subtract 514 from 720, we get 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

Step 13:
When dividing 2060 by 257, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 276656.70428
If we take 2056 away from 2060, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 14:
If we divide 40 by 257, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 276656.70428
The remainder is 40 after subtracting 0 from 40.
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 15:
The number 257 fits into 400 1 times, leaving a remainder of 143.
Write down 1 as next digit of the result. 
Result so far: 276656.7042801
If we take 257 away from 400, we end up with 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

Step 16:
If we divide 1430 by 257, we get 5 and a remainder of 145.
Put 5 as the next digit of the answer. 
Result so far: 276656.70428015
The remainder is 145 after subtracting 1285 from 1430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

In conclusion, the division gives 276656.70428015 with a balance of 1.45e-07.