We look at the division of 75787255 by 709 
Our goal is to divide 75787255 by 709.

On to step 1:
709 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 709

Step 2:
709 can be fit into 75 0 times, resulting in a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 75 and we're left with 75.
Include the next digit (7) from the dividend after 75, then repeat: 757 / 709

Moving on to step 3:
If we divide 757 by 709, we get 1 and a remainder of 48.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 709 from 757 to get 48.
Append the next digit (8) from the dividend to 48 and continue with: 488 / 709

Step 4:
When dividing 488 by 709, we get 0 with a remainder of 488.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 488 and we're left with 488.
Take the next digit (7) from the dividend and append it to 488, then repeat: 4887 / 709

On to step 5:
The number 709 fits into 4887 6 times, leaving a remainder of 633.
The next digit of our result is 6. 
Result so far: 106.0
If we subtract 4254 from 4887, we get 633.
Take the next digit (2) from the dividend and append it to 633, then repeat: 6332 / 709

Step 6:
709 goes into 6332 8 times with a remainder of 660.
Use 8 as the next digit of our solution. 
Result so far: 1068.0
Deduct 5672 from 6332 and we're left with 660.
Append the next digit (5) from the dividend to 660 and continue with: 6605 / 709

Going ahead to step 7:
6605 divided by 709 is 9 with a remainder of 224.
The number 9 becomes the next digit in our result. 
Result so far: 10689.0
If we take 6381 away from 6605, we end up with 224.
Fetch the next digit (5) from the dividend, attach it to 224 and continue: 2245 / 709

On to step 8:
709 goes into 2245 3 times with a remainder of 118.
The next digit of our result is 3. 
Result so far: 106893.0
Subtracting 2127 from 2245 leaves us with 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

Going ahead to step 9:
When dividing 1180 by 709, we get 1 with a remainder of 471.
Use 1 as the next digit of our solution. 
Result so far: 106893.1
If we subtract 709 from 1180, we get 471.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4710, and continue the process.

On to step 10:
When dividing 4710 by 709, we get 6 with a remainder of 456.
Write down 6 as next digit of the result. 
Result so far: 106893.16
The remainder is 456 after subtracting 4254 from 4710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4560, and continue the process.

Step 11:
The number 709 fits into 4560 6 times, leaving a remainder of 306.
Put 6 as the next digit of the answer. 
Result so far: 106893.166
The remainder is 306 after subtracting 4254 from 4560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3060, and continue the process.

The quotient of the division is 106893.166, and the remainder is 0.0306.