643137 divided by 81 
We want to divide 643137 by 81.

Moving on to step 1:
When dividing 6 by 81, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 81

Step 2:
When dividing 64 by 81, we get 0 with a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Bring next digit (3) of the dividend behind the 64 and repeat the process: 643 / 81

Let's proceed to step 3:
If we divide 643 by 81, we get 7 and a remainder of 76.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 567 from 643, we get 76.
Fetch the next digit (1) from the dividend, attach it to 76 and continue: 761 / 81

Moving on to step 4:
761 divided by 81 is 9 with a remainder of 32.
The next digit of our result is 9. 
Result so far: 79.0
If we subtract 729 from 761, we get 32.
Append the next digit (3) from the dividend to 32 and continue with: 323 / 81

Moving on to step 5:
The number 81 fits into 323 3 times, leaving a remainder of 80.
The number 3 becomes the next digit in our result. 
Result so far: 793.0
Subtract 243 from 323 to get 80.
Append the next digit (7) from the dividend to 80 and continue with: 807 / 81

Going ahead to step 6:
81 can be fit into 807 9 times, resulting in a remainder of 78.
Use 9 as the next digit of our solution. 
Result so far: 7939.0
Subtracting 729 from 807 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 7:
When dividing 780 by 81, we get 9 with a remainder of 51.
Put 9 as the next digit of the answer. 
Result so far: 7939.9
If we subtract 729 from 780, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 8:
510 divided by 81 is 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 7939.96
If we take 486 away from 510, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 9:
81 can be fit into 240 2 times, resulting in a remainder of 78.
Record the quotient 2 as the next digit in the result. 
Result so far: 7939.962
The remainder is 78 after subtracting 162 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 10:
The number 81 fits into 780 9 times, leaving a remainder of 51.
The next digit of our result is 9. 
Result so far: 7939.9629
The remainder is 51 after subtracting 729 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 11:
If we divide 510 by 81, we get 6 and a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 7939.96296
Subtracting 486 from 510 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 12:
The number 81 fits into 240 2 times, leaving a remainder of 78.
Record the quotient 2 as the next digit in the result. 
Result so far: 7939.962962
The remainder is 78 after subtracting 162 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 13:
81 can be fit into 780 9 times, resulting in a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 7939.9629629
Subtracting 729 from 780 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 14:
81 goes into 510 6 times with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 7939.96296296
Subtract 486 from 510 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 7939.96296296 with a balance of 2.4e-08.