Let's divide 562642 by 81
Our goal is to divide 562642 by 81.

On to step 1:
When dividing 5 by 81, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 81

Moving on to step 2:
If we divide 56 by 81, we get 0 and a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Append the next digit (2) from the dividend to 56 and continue with: 562 / 81

Going ahead to step 3:
562 divided by 81 is 6 with a remainder of 76.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 486 from 562 leaves us with 76.
Append the next digit (6) from the dividend to 76 and continue with: 766 / 81

Moving on to step 4:
766 divided by 81 is 9 with a remainder of 37.
Use 9 as the next digit of our solution. 
Result so far: 69.0
The remainder is 37 after subtracting 729 from 766.
Include the next digit (4) from the dividend after 37, then repeat: 374 / 81

Moving on to step 5:
81 goes into 374 4 times with a remainder of 50.
Write down 4 as next digit of the result. 
Result so far: 694.0
Deduct 324 from 374 and we're left with 50.
Append the next digit (2) from the dividend to 50 and continue with: 502 / 81

Going ahead to step 6:
When dividing 502 by 81, we get 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 6946.0
Deduct 486 from 502 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 7:
160 divided by 81 is 1 with a remainder of 79.
The number 1 becomes the next digit in our result. 
Result so far: 6946.1
The remainder is 79 after subtracting 81 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 8:
The number 81 fits into 790 9 times, leaving a remainder of 61.
Use 9 as the next digit of our solution. 
Result so far: 6946.19
If we subtract 729 from 790, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 9:
81 goes into 610 7 times with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 6946.197
If we subtract 567 from 610, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 10:
If we divide 430 by 81, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 6946.1975
Subtract 405 from 430 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 11:
If we divide 250 by 81, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 6946.19753
If we take 243 away from 250, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 12:
If we divide 70 by 81, we get 0 and a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 6946.19753
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 13:
81 goes into 700 8 times with a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 6946.1975308
If we take 648 away from 700, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 14:
520 divided by 81 is 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 6946.19753086
Subtract 486 from 520 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 6946.19753086 with a remainder of 3.4e-08.