We divide 6420 by 81
We want to divide 6420 by 81.

Advancing to step 1:
If we divide 6 by 81, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 81

Let's proceed to step 2:
When dividing 64 by 81, we get 0 with a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Grab the next digit (2) from the dividend, add it to 64, then carry on: 642 / 81

Advancing to step 3:
642 divided by 81 is 7 with a remainder of 75.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 567 away from 642, we end up with 75.
Append the next digit (0) from the dividend to 75 and continue with: 750 / 81

On to step 4:
81 can be fit into 750 9 times, resulting in a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 79.0
If we take 729 away from 750, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 5:
If we divide 210 by 81, we get 2 and a remainder of 48.
The next digit of our result is 2. 
Result so far: 79.2
Subtracting 162 from 210 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 6:
When dividing 480 by 81, we get 5 with a remainder of 75.
The next digit of our result is 5. 
Result so far: 79.25
If we subtract 405 from 480, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 7:
The number 81 fits into 750 9 times, leaving a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 79.259
If we take 729 away from 750, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 8:
81 can be fit into 210 2 times, resulting in a remainder of 48.
The next digit of our result is 2. 
Result so far: 79.2592
If we take 162 away from 210, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 9:
If we divide 480 by 81, we get 5 and a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 79.25925
The remainder is 75 after subtracting 405 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 10:
When dividing 750 by 81, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 79.259259
Subtracting 729 from 750 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 11:
81 goes into 210 2 times with a remainder of 48.
Record the quotient 2 as the next digit in the result. 
Result so far: 79.2592592
The remainder is 48 after subtracting 162 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 12:
When dividing 480 by 81, we get 5 with a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 79.25925925
If we take 405 away from 480, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

The quotient of the division is 79.25925925, and the remainder is 7.5e-08.