We're dividing 81754 by 80 
We want to figure out the number of times 81754 can be divided by 80.

Going ahead to step 1:
When dividing 8 by 80, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 80

Advancing to step 2:
If we divide 81 by 80, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 1 after subtracting 80 from 81.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 80

Advancing to step 3:
80 can be fit into 17 0 times, resulting in a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 17 after subtracting 0 from 17.
Fetch the next digit (5) from the dividend, attach it to 17 and continue: 175 / 80

Moving on to step 4:
80 can be fit into 175 2 times, resulting in a remainder of 15.
The next digit of our result is 2. 
Result so far: 102.0
If we subtract 160 from 175, we get 15.
Append the next digit (4) from the dividend to 15 and continue with: 154 / 80

Advancing to step 5:
154 divided by 80 is 1 with a remainder of 74.
The number 1 becomes the next digit in our result. 
Result so far: 1021.0
If we subtract 80 from 154, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 6:
80 goes into 740 9 times with a remainder of 20.
The number 9 becomes the next digit in our result. 
Result so far: 1021.9
If we subtract 720 from 740, we 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.

Moving on to step 7:
When dividing 200 by 80, we get 2 with a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 1021.92
If we subtract 160 from 200, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
80 goes into 400 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 1021.925
Subtract 400 from 400 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
80 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1021.925
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
0 divided by 80 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 1021.925
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 1021.925, and the remainder is 0.0.