We look at the division of 642970 by 81 
Let's see how many times 81 fits into 642970.

Going ahead to step 1:
6 divided by 81 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 81

Going ahead to step 2:
64 divided by 81 is 0 with a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Append the next digit (2) from the dividend to 64 and continue with: 642 / 81

Step 3:
81 goes into 642 7 times with a remainder of 75.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 75 after subtracting 567 from 642.
Bring next digit (9) of the dividend behind the 75 and repeat the process: 759 / 81

On to step 4:
The number 81 fits into 759 9 times, leaving a remainder of 30.
Write down 9 as next digit of the result. 
Result so far: 79.0
The remainder is 30 after subtracting 729 from 759.
Take the next digit (7) from the dividend and append it to 30, then repeat: 307 / 81

On to step 5:
If we divide 307 by 81, we get 3 and a remainder of 64.
Record the quotient 3 as the next digit in the result. 
Result so far: 793.0
The remainder is 64 after subtracting 243 from 307.
Include the next digit (0) from the dividend after 64, then repeat: 640 / 81

Let's proceed to step 6:
When dividing 640 by 81, we get 7 with a remainder of 73.
The number 7 becomes the next digit in our result. 
Result so far: 7937.0
If we take 567 away from 640, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Going ahead to step 7:
730 divided by 81 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 7937.9
Subtracting 729 from 730 leaves us 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.

Advancing to step 8:
If we divide 10 by 81, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 7937.9
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
81 goes into 100 1 times with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 7937.901
Deduct 81 from 100 and we're left 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.

Let's proceed to step 10:
If we divide 190 by 81, we get 2 and a remainder of 28.
The next digit of our result is 2. 
Result so far: 7937.9012
The remainder is 28 after subtracting 162 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 11:
The number 81 fits into 280 3 times, leaving a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 7937.90123
The remainder is 37 after subtracting 243 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 12:
81 can be fit into 370 4 times, resulting in a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 7937.901234
Subtracting 324 from 370 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 13:
81 goes into 460 5 times with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 7937.9012345
Subtract 405 from 460 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 14:
When dividing 550 by 81, we get 6 with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 7937.90123456
Deduct 486 from 550 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

After the division, we end up with 7937.90123456 and a remainder of 6.4e-08.