11771 divided by 75 
Our goal is to divide 11771 by 75.

Going ahead to step 1:
75 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 75

Step 2:
75 can be fit into 11 0 times, resulting in a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 75

Moving on to step 3:
75 goes into 117 1 times with a remainder of 42.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 75 from 117, we get 42.
Include the next digit (7) from the dividend after 42, then repeat: 427 / 75

On to step 4:
The number 75 fits into 427 5 times, leaving a remainder of 52.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtracting 375 from 427 leaves us with 52.
Fetch the next digit (1) from the dividend, attach it to 52 and continue: 521 / 75

Advancing to step 5:
75 goes into 521 6 times with a remainder of 71.
The number 6 becomes the next digit in our result. 
Result so far: 156.0
Deduct 450 from 521 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 6:
When dividing 710 by 75, we get 9 with a remainder of 35.
The next digit of our result is 9. 
Result so far: 156.9
Deduct 675 from 710 and we're left 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.

On to step 7:
350 divided by 75 is 4 with a remainder of 50.
Use 4 as the next digit of our solution. 
Result so far: 156.94
If we subtract 300 from 350, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
75 can be fit into 500 6 times, resulting in a remainder of 50.
The next digit of our result is 6. 
Result so far: 156.946
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 156.9466
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 156.9466, and the remainder is 0.0005.