81754 ÷ 21 
We want to divide 81754 by 21.

Step 1:
When dividing 8 by 21, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 21

On to step 2:
21 goes into 81 3 times with a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 18 after subtracting 63 from 81.
Fetch the next digit (7) from the dividend, attach it to 18 and continue: 187 / 21

Advancing to step 3:
21 can be fit into 187 8 times, resulting in a remainder of 19.
The next digit of our result is 8. 
Result so far: 38.0
If we subtract 168 from 187, we get 19.
Append the next digit (5) from the dividend to 19 and continue with: 195 / 21

Step 4:
When dividing 195 by 21, we get 9 with a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 389.0
Deduct 189 from 195 and we're left with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 21

Moving on to step 5:
21 goes into 64 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 3893.0
If we take 63 away from 64, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 6:
If we divide 10 by 21, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 3893.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
21 can be fit into 100 4 times, resulting in a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 3893.04
Deduct 84 from 100 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
The number 21 fits into 160 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 3893.047
The remainder is 13 after subtracting 147 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 9:
21 can be fit into 130 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 3893.0476
If we take 126 away from 130, 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.

Let's proceed to step 10:
21 goes into 40 1 times with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 3893.04761
Subtracting 21 from 40 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 11:
The number 21 fits into 190 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 3893.047619
Deduct 189 from 190 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 12:
If we divide 10 by 21, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 3893.047619
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
If we divide 100 by 21, we get 4 and a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 3893.04761904
The remainder is 16 after subtracting 84 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 3893.04761904, and the remainder is 1.6e-08.