Let's divide 681417 by 81
We're looking to find how many times 81 goes into 681417.

On to step 1:
6 divided by 81 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 81

Moving on to step 2:
81 goes into 68 0 times with a remainder of 68.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 68 after subtracting 0 from 68.
Fetch the next digit (1) from the dividend, attach it to 68 and continue: 681 / 81

Going ahead to step 3:
681 divided by 81 is 8 with a remainder of 33.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 648 from 681 to get 33.
Take the next digit (4) from the dividend and append it to 33, then repeat: 334 / 81

Advancing to step 4:
If we divide 334 by 81, we get 4 and a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 84.0
If we take 324 away from 334, we end up with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 81

Let's proceed to step 5:
81 can be fit into 101 1 times, resulting in a remainder of 20.
The next digit of our result is 1. 
Result so far: 841.0
Subtract 81 from 101 to get 20.
Append the next digit (7) from the dividend to 20 and continue with: 207 / 81

Moving on to step 6:
81 goes into 207 2 times with a remainder of 45.
Record the quotient 2 as the next digit in the result. 
Result so far: 8412.0
Subtract 162 from 207 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 7:
81 can be fit into 450 5 times, resulting in a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 8412.5
Subtract 405 from 450 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 8:
81 goes into 450 5 times with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 8412.55
The remainder is 45 after subtracting 405 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The quotient of the division is 8412.55, and the remainder is 0.045.