We're dividing 122777 by 75 
Our goal is to divide 122777 by 75.

Advancing to step 1:
If we divide 1 by 75, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 75

Moving on to step 2:
75 can be fit into 12 0 times, resulting in a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 75

Advancing to step 3:
The number 75 fits into 122 1 times, leaving a remainder of 47.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 75 from 122, we get 47.
Take the next digit (7) from the dividend and append it to 47, then repeat: 477 / 75

Advancing to step 4:
When dividing 477 by 75, we get 6 with a remainder of 27.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtracting 450 from 477 leaves us with 27.
Take the next digit (7) from the dividend and append it to 27, then repeat: 277 / 75

Step 5:
If we divide 277 by 75, we get 3 and a remainder of 52.
Write down 3 as next digit of the result. 
Result so far: 163.0
Subtract 225 from 277 to get 52.
Take the next digit (7) from the dividend and append it to 52, then repeat: 527 / 75

On to step 6:
75 goes into 527 7 times with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 1637.0
If we take 525 away from 527, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
20 divided by 75 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 1637.0
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
75 goes into 200 2 times with a remainder of 50.
The next digit of our result is 2. 
Result so far: 1637.02
If we take 150 away from 200, 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.

Moving on to step 9:
When dividing 500 by 75, we get 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 1637.026
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.

On to step 10:
500 divided by 75 is 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 1637.0266
Subtracting 450 from 500 leaves us 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.

In conclusion, the division gives 1637.0266 with a balance of 0.0005.